Math Blog
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Newly added pages can be seen from this page. Keep visiting to this page so that you will remain updated.en-usMathWed, 14 Feb 2018 16:33:11 -0500Wed, 14 Feb 2018 16:33:11 -0500math-only-math.comFeb 14, Problem on Change the Subject of a Formula | Changing the Subject
http://www.math-only-math.com/problem-on-change-the-subject-of-a-formula.html5e3b3f9e47dfe26ec9ce3978aba5ee89We will solve different types of problems on change the subject of a formula. The subject of a formula is a variable whose relation with other variables of the context is sought and the formula is written in such a way that subject is expressed in terms of the otherWed, 14 Feb 2018 16:29:23 -0500Feb 13, Worksheet on Change of Subject | Change the Subject as Indicated
http://www.math-only-math.com/worksheet-on-change-of-subject.html6a1042736b7ef0ff95515b68dd740df1Practice the questions given in the worksheet on change of subject When a formula involving certain variables is known, we can change the subject of the formula. What is the subject in each of the following questions? Change the subject as indicated.Tue, 13 Feb 2018 15:31:53 -0500Feb 2, Worksheet on Framing a Formula | Framing Formulas | Frame an Equation
http://www.math-only-math.com/worksheet-on-framing-a-formula.html5d5d6e1bfe006fe5203f8ed80ce4530fPractice the questions given in the worksheet on framing a formula. I. Frame a formula for each of the following statements: 1. The side ‛s’ of a square is equal to the square root of its area A.Fri, 2 Feb 2018 15:55:02 -0500Jan 31, Establishing an Equation | Framing a Formula | Framing Linear Equation
http://www.math-only-math.com/establishing-an-equation.html4d96b4d3b2fc29a8185ea309d10d1ef1We will discuss here about establishing an equation. In a given context, the relation between variables expressed by equality (or inequality) is called a formula. When a formula is expressed by an equality, the algebraic expression is called an equation.Wed, 31 Jan 2018 16:22:25 -0500Jan 22, Rectangular Cartesian Co-ordinates | Abscissa | Ordinate | Oblique Co-ordinate
http://www.math-only-math.com/rectangular-cartesian-co-ordinates.html66a38fb1df289d3545c4e6fd7d1103c4What is Rectangular Cartesian Co-ordinates? Let O be a fixed point on the plane of this page; draw mutually perpendicular straight line XOX’ and YOY’ through O. Clearly, these lines divide the planeMon, 22 Jan 2018 17:10:33 -0500Jan 21, What is Co-ordinate Geometry? | Analytical Geometry| Cartesian Co-ordinate
http://www.math-only-math.com/co-ordinate-geometry.htmld6e038081e2b274e11be160eb87c186dWhat is co-ordinate geometry? The subject <b>co-ordinate geometry</b> is that particular branch of mathematics in which geometry is studied with the help of algebra. This branch of mathematics was firSun, 21 Jan 2018 14:44:35 -0500Jan 20, Table of Tangents and Cotangents | Natural Tangents and Natural Cotangents
http://www.math-only-math.com/table-of-tangents-and-cotangents.htmlbd841d8ee58243fe18d7ce0e3730d645We will discuss here the method of using the table of tangents and cotangents. This table shown below is also known as the table of natural tangents and natural cotangents. Using the table we canSat, 20 Jan 2018 15:15:23 -0500Jan 20, Table of Sines and Cosines |Trigonometric Table|Table of Natural sines & cosines
http://www.math-only-math.com/table-of-sines-and-cosines.html14095676c9fb3de1593a6c43981482e2We will discuss here the method of using the table of sines and cosines: The above table is also known as the table of natural sines and natural cosines. Using the table we can find the valuesSat, 20 Jan 2018 15:11:27 -0500Jan 20, Problems on Properties of Triangle | Angle Properties of Triangles
http://www.math-only-math.com/problems-on-properties-of-triangle.htmld77c67e96b0bb48c29b54a6e93395be8We will solve different types of problems on properties of triangle. 1. If in any triangle the angles be to one another as 1 : 2 : 3, prove that the corresponding sides are 1 : √3 : 2.Sat, 20 Jan 2018 15:05:28 -0500Jan 20, Properties of Triangle Formulae | Triangle Formulae | Properties of Triangle
http://www.math-only-math.com/properties-of-triangle-formulae.html44cf1383fe030763b6c5f9d587ef5c1cWe will discuss the list of properties of triangle formulae which will help us to solve different types of problems on triangle.Sat, 20 Jan 2018 15:01:42 -0500Jan 20, Law of Tangents |The Tangent Rule|Proof of the Law of Tangents|Alternative Proof
http://www.math-only-math.com/law-of-tangents.htmlad24e745054693365f751d1af7f1a4e5We will discuss here about the law of tangents or the tangent rule which is required for solving the problems on triangle. In any triangle ABC,Sat, 20 Jan 2018 14:55:51 -0500Jan 20, Area of a Triangle | ∆ = ½ bc sin A | ∆ = ½ ca sin B | ∆ = ½ ab sin C
http://www.math-only-math.com/area-of-a-triangle.html9c917d30b4018b6a01541fbe3b1710eeIf ∆ be the area of a triangle ABC, Proved that, ∆ = ½ bc sin A = ½ ca sin B = ½ ab sin C That is, (i) ∆ = ½ bc sin A (ii) ∆ = ½ ca sin B (iii) ∆ = ½ ab sin CSat, 20 Jan 2018 14:49:20 -0500Jan 20, The Law of Cosines | The Cosine Rule | Cosine Rule Formula | Cosine Law Proof
http://www.math-only-math.com/law-of-cosines.html30620ccc8d897874ebff2733a5f4eb3bWe will discuss here about the law of cosines or the cosine rule which is required for solving the problems on triangle. In any triangle ABC, Prove that, (i) b\(^{2}\)Sat, 20 Jan 2018 14:42:53 -0500Jan 20, Proof of Projection Formulae | Projection Formulae | Geometrical Interpretation
http://www.math-only-math.com/proof-of-projection-formulae.htmlf89ffaae0e4d78aaaf164cecbcfa1f4aThe geometrical interpretation of the proof of projection formulae is the length of any side of a triangle is equal to the algebraic sum of the projections of other sides upon it. In Any TriangleSat, 20 Jan 2018 14:33:02 -0500Jan 20, Projection Formulae | a = b cos C + c cos B | b = c cos A + a cos C
http://www.math-only-math.com/projection-formulae.html2b9965e0df16d9b1e94f330411659063Projection formulae is the length of any side of a triangle is equal to the sum of the projections of other two sides on it. In Any Triangle ABC, (i) a = b cos C + c cos BSat, 20 Jan 2018 14:25:09 -0500Jan 20, Theorem on Properties of Triangle | p/sin P = q/sin Q = r/sin R = 2K
http://www.math-only-math.com/theorem-on-properties-of-triangle.htmlc92b0f84d7f166b49627bf57c0f7769dProof the theorem on properties of triangle p/sin P = q/sin Q = r/sin R = 2K. Proof: Let O be the circum-centre and R the circum-radius of any triangle PQR. Let O be the circum-centre and R Sat, 20 Jan 2018 13:52:40 -0500Jan 20, The Law of Sines | The Sine Rule | The Sine Rule Formula | Law of sines Proof
http://www.math-only-math.com/law-of-sines.html7676bd9b86dc0c01d5bcfff846f95c70We will discuss here about the law of sines or the sine rule which is required for solving the problems on triangle. In any triangle the sides of a triangle are proportional to the sinesSat, 20 Jan 2018 13:38:42 -0500Jan 20, Properties of Triangles | Semi-perimeter| Circum-circle|Circum-radius|In-radius
http://www.math-only-math.com/properties-of-triangles.html01e1050e7f432d9ba5ea61f96cdb88c9In trigonometry we will discuss about the different properties of triangles. We know any triangle has six parts, the three sides and the three angles are generally called the elements of the triangle.Sat, 20 Jan 2018 13:25:25 -0500Jan 19, Problems on Inverse Trigonometric Function | Inverse Circular Function Problems
http://www.math-only-math.com/problems-on-inverse-trigonometric-function.html61fe0c6c1534cea1b1697920cf5102b6We will solve different types of problems on inverse trigonometric function. 1. Find the values of sin (cos\(^{-1}\) 3/5) Fri, 19 Jan 2018 17:12:23 -0500Jan 19, Principal Values of Inverse Trigonometric Functions |Different types of Problems
http://www.math-only-math.com/principal-values-of-inverse-trigonometric-functions.html54d94705acb3936989eccd390a99413bWe will learn how to find the principal values of inverse trigonometric functions in different types of problems. The principal value of sin\(^{-1}\) x for x > 0, is the length of the arc of a unitFri, 19 Jan 2018 16:54:48 -0500Jan 19, Inverse Trigonometric Function Formula | Inverse Circular Function Formula
http://www.math-only-math.com/inverse-trigonometric-function-formula.html0a9495fe73652f0016c9f4e133526051We will discuss the list of inverse trigonometric function formula which will help us to solve different types of inverse circular or inverse trigonometric function.Fri, 19 Jan 2018 16:49:10 -0500Jan 19, 3 arctan(x) | 3 tan\(^{-1}\) x |3 tan inverse x | Inverse Trigonometric Function
http://www.math-only-math.com/3-arctan-x.html775447817fa1f004afd315daaccab6a3We will learn how to prove the property of the inverse trigonometric function 3 arctan(x) = arctan(\(\frac{3x - x^{3}}{1 - 3 x^{2}}\)) or, 3 tan\(^{-1}\) x = tan\(^{-1}\)Fri, 19 Jan 2018 16:41:31 -0500Jan 19, 3 arccos(x) | 3 cos\(^{-1}\) x |3 cos inverse x | Inverse Trigonometric Function
http://www.math-only-math.com/3-arccos-x.html6e86c99db5c8d3d2db0105a639800fcbWe will learn how to prove the property of the inverse trigonometric function 3 arccos(x) = arccos(4x\(^{3}\) - 3x) or, 3 cos\(^{-1}\) x = cos\(^{-1}\) (4x\(^{3}\) - 3x)Fri, 19 Jan 2018 16:38:57 -0500Jan 19, 3 arcsin(x) | 3 sin\(^{-1}\) x |3 sin inverse x | Inverse Trigonometric Function
http://www.math-only-math.com/3-arcsin-x.html82deaf78ef4faf3232b95a5a0bcc5f7aWe will learn how to prove the property of the inverse trigonometric function 3 arcsin(x) = arcsin(3x - 4x\(^{3}\)) or, 3 sin\(^{-1}\) x = sin\(^{-1}\) (3x - 4x\(^{3}\))Fri, 19 Jan 2018 16:32:30 -0500Jan 19, 2 arctan(x) | 2 tan\(^{-1}\) x | 2 tan inverse x |Inverse Trigonometric Function
http://www.math-only-math.com/2-arctan-x.htmlc1aadf0ecca7e624cebbee68d21f8fb8We will learn how to prove the property of the inverse trigonometric function, 2 arctan(x) = arctan(\(\frac{2x}{1 - x^{2}}\)) = arcsin(\(\frac{2x}{1 + x^{2}}\))Fri, 19 Jan 2018 16:20:02 -0500Jan 19, 2 arccos(x) | 2 cos\(^{-1}\) x | 2 cos inverse x |Inverse Trigonometric Function
http://www.math-only-math.com/2-arccos-x.htmld596b9d8f70ef341163cd0fb7adc553eWe will learn how to prove the property of the inverse trigonometric function 2 cos\(^{-1}\) x = cos\(^{-1}\) (2x\(^{2}\) - 1) or, 2 arccos(x) = arccos(2x\(^{2}\) - 1).Fri, 19 Jan 2018 15:56:56 -0500Jan 19, 2 arcsin(x) | 2 sin\(^{-1}\) x | 2 sin inverse x |Inverse Trigonometric Function
http://www.math-only-math.com/2-arcsin-x.html3aebe8a2b34cb5358a06cb95d5da8bb7We will learn how to prove the property of the inverse trigonometric function 2 arcsin(x) = arcsin(2x\(\sqrt{1 - x^{2}}\)) or, 2 sin\(^{-1}\) x = sin\(^{-1}\) (2x\(\sqrt{1 - x^{2}}\))Fri, 19 Jan 2018 15:54:21 -0500Jan 19, arccos(x) - arccos(y) | cos^-1 x - cos^-1 y | Inverse Trigonometric Function
http://www.math-only-math.com/arccos-x-minus-arccos-y.html2afb12f0cdd60265008533931466f607We will learn how to prove the property of the inverse trigonometric function arccos(x) - arccos(y) = arccos(xy + \(\sqrt{1 - x^{2}}\)\(\sqrt{1 - y^{2}}\))Fri, 19 Jan 2018 15:46:30 -0500Jan 19, arccos(x) + arccos(y) | cos^-1 x + cos^-1 y | Inverse Trigonometric Function
http://www.math-only-math.com/arccos-x-plus-arccos-y.html1283d4eab074f9d88d7a952012824386We will learn how to prove the property of the inverse trigonometric function arccos (x) + arccos(y) = arccos(xy - \(\sqrt{1 - x^{2}}\)\(\sqrt{1 - y^{2}}\))Fri, 19 Jan 2018 15:41:50 -0500Jan 19, arcsin x - arcsin y |sin\(^{-1}\) x - sin\(^{-1}\) y|sin inverse x-sin inverse y
http://www.math-only-math.com/arcsin-x-minus-arcsin-y.html7d1b1a8032e803ad1068e3dac61a8958We will learn how to prove the property of the inverse trigonometric function arcsin (x) - arcsin(y) = arcsin (x \(\sqrt{1 - y^{2}}\) - y\(\sqrt{1 - x^{2}}\))Fri, 19 Jan 2018 15:33:33 -0500Jan 18, arcsin(x) + arcsin(y) |sin\(^{-1}\) x+sin\(^{-1}\) y|sin inverse x+sin inverse y
http://www.math-only-math.com/arcsin-x-plus-arcsin-y.html6ec83f7a688330dccc1195aff5cabdcfWe will learn how to prove the property of the inverse trigonometric function arcsin (x) + arcsin(y) = arcsin (x \(\sqrt{1 - y^{2}}\) + y\(\sqrt{1 - x^{2}}\))Thu, 18 Jan 2018 15:34:45 -0500Jan 18, arccot(x) - arccot(y) | cot^-1 x - cot^-1 y | Inverse Trigonometric Function
http://www.math-only-math.com/arccot-x-minus-arccot-y.html9d480fde74e4aaefb4b5b8a715b65aafWe will learn how to prove the property of the inverse trigonometric function arccot(x) - arccot(y) = arccot(\(\frac{xy + 1}{y - x}\)) (i.e., cot\(^{-1}\) x + cot\(^{-1}\) y = cot\(^{-1}\)Thu, 18 Jan 2018 15:29:21 -0500Jan 18, arccot(x) + arccot(y) | cot^-1 x + cot^-1 y | Inverse Trigonometric Function
http://www.math-only-math.com/arccot-x-plus-arccot-y.htmlcaf16ebb024180bec1360a30d4149cfeWe will learn how to prove the property of the inverse trigonometric function arccot(x) + arccot(y) = arccot(\(\frac{xy - 1}{y + x}\)) (i.e., cot\(^{-1}\) x - cot\(^{-1}\) y = cot\(^{-1}\)Thu, 18 Jan 2018 14:00:20 -0500Jan 16, arctan(x) + arctan(y) + arctan(z) | tan^-1 x + tan^-1 y + tan^-1 z |Inverse Trig
http://www.math-only-math.com/arctan-x-plus-arctan-y-plus-arctan-z.htmla6e41690b2d9958a9b90fd0c7d392292We will learn how to prove the property of the inverse trigonometric function arctan(x) + arctan(y) + arctan(z) = arctan\(\frac{x + y + z – xyz}{1 – xy – yz – zx}\) (i.e., tan\(^{-1}\) xTue, 16 Jan 2018 17:09:16 -0500Jan 16, arctan x + arccot x = π/2 | arctan(x) + arccot(x) = \(\frac{π}{2}\) | Examples
http://www.math-only-math.com/arctan-x-plus-arccot-x-equals-pi-by-2.html4fd890a8fe962e19f6a24ad0aab7f286We will learn how to prove the property of the inverse trigonometric function arctan(x) + arccot(x) = \(\frac{π}{2}\) (i.e., tan\(^{-1}\) x + cot\(^{-1}\) x = \(\frac{π}{2}\)).Tue, 16 Jan 2018 17:06:45 -0500Jan 16, arctan x - arctan y | tan^-1 x - tan^-1 y | Inverse Trigonometric Function
http://www.math-only-math.com/arctan-x-minus-arctan-y.htmlb8d08fdb3acddba56050ffe4f02f00eeWe will learn how to prove the property of the inverse trigonometric function arctan(x) - arctan(y) = arctan(\(\frac{x - y}{1 + xy}\)) (i.e., tan\(^{-1}\) x - tan\(^{-1}\) yTue, 16 Jan 2018 17:04:04 -0500Jan 16, arctan(x) + arctan(y) = arctan(\(\frac{x + y}{1 - xy}\)) | tan^-1 x + tan^-1 y
http://www.math-only-math.com/arctan-x-plus-arctan-y.html19d876755a11cc269f2f028e14847b10We will learn how to prove the property of the inverse trigonometric function arctan(x) + arctan(y) = arctan(\(\frac{x + y}{1 - xy}\)), (i.e., tan\(^{-1}\) x + tan\(^{-1}\) y = tan\(^{-1}\)Tue, 16 Jan 2018 16:15:20 -0500Jan 15, Method of Substitution | The Substitution Method Examples
http://www.math-only-math.com/method-of-substitution.html45bac4490d40b59e173191a2c85fc9eeSteps involved in solving linear equations in two variables by method of substitution: Examine the question carefully and make sure that two different lineMon, 15 Jan 2018 15:44:51 -0500Jan 14, arcsin x + arccos x = π/2 | arcsin(x) + arccos(x) = \(\frac{π}{2}\) | Examples
http://www.math-only-math.com/arcsin-x-plus-arccos-x-equals-pi-by-2.html7ebd3451c09cfcf180c6982df29802e7We will learn how to prove the property of the inverse trigonometric function arcsin(x) + arccos(x) = \(\frac{π}{2}\). Proof: Let, sin\(^{-1}\) x = θ Therefore, x = sin θ Sun, 14 Jan 2018 16:28:13 -0500Jan 14, General Values of Inverse Trigonometric Functions | Inverse Circular Functions
http://www.math-only-math.com/general-values-of-inverse-trigonometric-functions.html07ab7863d8d89e5091befc2d8beb8fdbWe will learn how to find the general values of inverse trigonometric functions in different types of problems. 1. Find the general values of sin\(^{-1}\) (- √3/2)Sun, 14 Jan 2018 16:20:59 -0500Jan 11, General and Principal Values of cot\(^{-1}\) x | Inverse Circular Functions
http://www.math-only-math.com/general-and-principal-values-of-cot-inverse-x.html98e0bc08690e293a8d0507858977f0f8How to find the general and principal values of cot\(^{-1}\) x? Let cot θ = x (- ∞ < x < ∞) then θ = cot\(^{-1}\) x. Here θ has infinitely many values.Thu, 11 Jan 2018 17:28:07 -0500Jan 11, General and Principal Values of sec\(^{-1}\) x | General values of arc sec x
http://www.math-only-math.com/general-and-principal-values-of-sec-inverse-x.htmld1920337ee637345a0da0396dd540254How to find the general and principal values of sec\(^{-1}\) x? Let sec θ = x ( I x I ≥ 1 i.e., x ≥ 1 or, x ≤ - 1 ) then θ = sec - 1x . Here θ has infinitely many values. Thu, 11 Jan 2018 17:24:34 -0500Jan 11, General and Principal Values of csc\(^{-1}\) x | Inverse Circular Functions
http://www.math-only-math.com/general-and-principal-values-of-csc-inverse-x.htmlb5b47f73bf8790a772de6d9e0d962a5aHow to find the general and principal values of ccs\(^{-1}\) x? Let csc θ = x ( I x I ≥ 1 i.e., x ≥ 1 or, x ≤ - 1 ) then θ = csc - 1x . Here θ has infinitely many values. Thu, 11 Jan 2018 17:22:16 -0500Jan 11, General and Principal Values of tan\(^{-1}\) x | Inverse Circular Functions
http://www.math-only-math.com/general-and-principal-values-of-tan-inverse-x.html3c7235f1732b9ee7448f25f6a4c9a86eHow to find the general and principal values of tan\(^{-1}\) x? Let tan θ = x (- ∞ < x < ∞) then θ = tan\(^{-1}\) x. Here θ has infinitely many values.Thu, 11 Jan 2018 17:11:44 -0500Jan 11, General and Principal Values of cos\(^{-1}\) x | Inverse Circular Functions
http://www.math-only-math.com/general-and-principal-values-of-cos-inverse-x.htmlee10a80d2a52e72c09021c5371721c82How to find the general and principal values of cos\(^{-1}\) x? Let cos θ = x where, (- 1 ≤ x ≤ 1) then θ = cos\(^{-1}\) x. Here θ has infinitely many values. Thu, 11 Jan 2018 17:00:50 -0500Jan 10, Method of Elimination | Systems of Equations with Elimination
http://www.math-only-math.com/method-of-elimination.htmlb2d59af0a036dc126d73ca47a19d04caEarlier we have seen about linear equation in two variables and an overview of solution of linear equation in two variables. From this topic on wards, weWed, 10 Jan 2018 14:37:58 -0500Jan 8, Solution of a Linear Equation in Two Variables |Method of Substitution, Elimi...
http://www.math-only-math.com/solution-of-a-linear-equation-in-two-variables.html35bb7a6821b852fd443cf43bcec3bb96Earlier we have studied about the linear equations in one variable. We know that in linear equations in one variable, only one variable is present whose value we need to find out by doing calculationsMon, 8 Jan 2018 15:20:07 -0500Jan 2, Comparison between Simple Interest and Compound Interest | Solved Examples
http://www.math-only-math.com/comparison-between-simple-interest-and-compound-interest.html3e8cb715450e9be78320604bfb68215cComparison between Simple Interest and Compound Interest for the same principal amount. Interest is of two kinds – Simple Interest and Compound Interest.Tue, 2 Jan 2018 15:56:04 -0500Jan 1, Worksheet on Compound Interest as Repeated Simple Interest | Answers
http://www.math-only-math.com/worksheet-on-compound-interest-as-repeated-simple-interest.html9760df99b6d7e9805d003b096a944a40Practice the questions given in the Worksheet on Compound Interest as Repeated Simple Interest. 1. Find the amount and compound interest for $2000 lent for 2 years at 2% rate of interest p.a.Mon, 1 Jan 2018 13:40:10 -0500Dec 31, Compound Interest as Repeated Simple Interest | Solved Examples
http://www.math-only-math.com/compound-interest-as-repeated-simple-interest.htmlfba523593c2efc18d37ef323136d2147We will learn how to calculate compound interest as repeated simple interest. If the compound interest of any particular year is $ z; then the compound interest for the next year on the same sumSun, 31 Dec 2017 17:01:26 -0500Dec 28, General and Principal Values of sin\(^{-1}\) x | Inverse Trigonometric Functions
http://www.math-only-math.com/general-and-principal-values-of-sin-inverse-x.html520682fb00dc1020973447d014a53382What are the general and principal Values of sin\(^{-1}\) x? What is sin\(^{-1}\) ½? We know that sin (30°) = ½.Thu, 28 Dec 2017 17:33:07 -0500Dec 28, Inverse Trigonometric Functions | Inverse Circular Functions | Introduction
http://www.math-only-math.com/inverse-trigonometric-functions.html118a4674858f571ba29f6deb1202b599We will discuss here about Inverse trigonometric Functions or inverse circular functions. The inverse of a function f: A ⟶B exists if and only if f is one-one onto (i.e., bijection) and given byThu, 28 Dec 2017 17:24:20 -0500Dec 28, Problems on Trigonometric Equation | Trigonometric Equation Formulas
http://www.math-only-math.com/problems-on-trigonometric-equation.htmlabca3f52fffb88dae6c4b0f7823c6ca1We will learn how to solve different types of problems on trigonometric equation containing one or many trig functions. First we need to solve the trigonometric function (if required) andThu, 28 Dec 2017 17:09:54 -0500Dec 28, General solution of Trigonometric Equation |Solution of a Trigonometric Equation
http://www.math-only-math.com/general-solution-of-trigonometric-equation.html7fb579247f4e18860c66c3eed39efd0fWe will learn how to find the general solution of trigonometric equation of various forms using the identities and the different properties of trig functions.Thu, 28 Dec 2017 17:06:30 -0500Dec 28, Trigonometric Equation using Formula | Problems on Trigonometric Equation
http://www.math-only-math.com/trigonometric-equation-using-formula.htmlbb8e887be77d49dd1ee7bb752d528c1cWe will learn how to solve trigonometric equation using formula. Here we will use the following formulas to get the solution of the trigonometric equations. (a) If sin θ = 0 then θ = nπThu, 28 Dec 2017 17:03:04 -0500Dec 28, Trigonometric Equation Formula | General Solution | Particular Solution
http://www.math-only-math.com/trigonometric-equation-formula.htmla0c756a18edb0ce9059d1ac30a57c023We will discuss about the trigonometric equation formula. We need to use the formula to find the general solution or some particular solution of different types of trigonometric equation.Thu, 28 Dec 2017 16:52:20 -0500Dec 28, a cos Theta Plus b sin Theta Equals c |General Solution of a cos θ + b sin θ = c
http://www.math-only-math.com/a-cos-theta-plus-b-sin-theta-equals-c.html670ae5b466d9ffd125a138892edc044aTrigonometric equations of the form a cos theta plus b sin theta equals c (i.e. a cos θ + b sin θ = c) where a, b, c are constants (a, b, c ∈ R) and |c| ≤ √(a^2 + b^2 ).Thu, 28 Dec 2017 16:47:12 -0500Dec 28, Tan Theta Equals Tan Alpha | General Solution of tan θ = tan ∝ |General Solution
http://www.math-only-math.com/tan-theta-equals-tan-alpha.htmlce51c2f98d1ad12d20ca409362ee7a30How to find the general solution of an equation of the form tan θ = tan ∝? Prove that the general solution of tan θ = tan ∝ is given by θ = nπ +∝, n ∈ Z.Thu, 28 Dec 2017 16:16:56 -0500Dec 28, Cos Theta Equals Minus 1 |General Solution of the Equation cos θ = -1|cos θ = -1
http://www.math-only-math.com/cos-theta-equals-minus-1.htmld2cc83db83315c93b6d074af87ea671fHow to find the general solution of an equation of the form cos θ = -1? Prove that the general solution of cos θ = -1 is given by θ = (2n + 1)π, n ∈ Z.Thu, 28 Dec 2017 16:08:37 -0500Dec 28, Cos Theta Equals 1 | General Solution of the Equation cos θ = 1 | cos θ = 1
http://www.math-only-math.com/cos-theta-equals-1.html0b0eec4eaa15384ba8938dc6c6341cfdHow to find the general solution of an equation of the form cos θ = 1? Prove that the general solution of cos θ = 1 is given by θ = 2nπ, n ∈ Z.Thu, 28 Dec 2017 16:04:49 -0500Dec 28, Cos Theta Equals Cos Alpha | General Solution of cos θ = cos ∝ |General Solution
http://www.math-only-math.com/cos-theta-equals-cos-alpha.htmlf54929bbfe2f8b5892b9bdba12fba980How to find the general solution of an equation of the form cos θ = cos ∝? Prove that the general solution of cos θ = cos ∝ is given by θ = 2nπ ± ∝, n ∈ Z.Thu, 28 Dec 2017 15:42:57 -0500Dec 28, Sin Theta Equals Minus 1 |General Solution of the Equation sin θ = -1|sin θ = -1
http://www.math-only-math.com/sin-theta-equals-minus-1.html4013ced5a730969f5b941932855f1fb7How to find the general solution of an equation of the form sin θ = 1? Prove that the general solution of sin θ = 1 is given by θ = (4n + 1)π/2, n ∈ Z.Thu, 28 Dec 2017 15:34:16 -0500Dec 28, Sin Theta Equals 1 | General Solution of the Equation sin θ = 1 | sin θ = 1
http://www.math-only-math.com/sin-theta-equals-1.html9a5fccde6e7548fa7f1474f334503209How to find the general solution of an equation of the form sin θ = 1? Prove that the general solution of sin θ = 1 is given by θ = (4n + 1)π/2, n ∈ Z.Thu, 28 Dec 2017 15:26:09 -0500Dec 28, Sin Theta Equals Sin Alpha | General Solution of sin θ = sin ∝ |General Solution
http://www.math-only-math.com/sin-theta-equals-sin-alpha.htmlea05200701ebf4af987688766b769cc0How to find the general solution of an equation of the form sin θ = sin ∝? Prove that the general solution of sin θ = sin ∝ is given by θ = nπ + (-1)^n ∝, n ∈ Z.Thu, 28 Dec 2017 15:18:16 -0500Dec 28, Tan Theta Equals 0 | General Solution of the Equation tan θ = 0 | tan θ = 0
http://www.math-only-math.com/tan-theta-equals-0.html4d79a2b4f0ca8b68e17377aa032b7204How to find the general solution of the equation tan θ = 0? Prove that the general solution of tan θ = 0 is θ = nπ, n ∈ Z.Thu, 28 Dec 2017 15:11:40 -0500Dec 27, Cos Theta Equals 0 | General Solution of the Equation cos θ = 0 | cos θ = 0
http://www.math-only-math.com/cos-theta-equals-0.html26f7b24171cfefe27392a19c268aa799How to find the general solution of the equation cos θ = 0? Prove that the general solution of cos θ = 0 is θ = (2n + 1) π/2, n ∈ Z Wed, 27 Dec 2017 16:19:10 -0500Dec 27, Sin Theta Equals 0 | General Solution of the Equation sin θ = 0 | sin θ = 0
http://www.math-only-math.com/sin-theta-equals-0.html2f80b21cd7b0c023906067a08eda1aa5How to find the general solution of the equation sin θ = 0? Prove that the general solution of sin θ = 0 is θ = nπ, n ∈ Z Solution:Wed, 27 Dec 2017 16:10:21 -0500Dec 27, tan x Minus Square Root of 3 Equals 0 | tan x - √3 = 0 | tan x = √3
http://www.math-only-math.com/tan-x-minus-square-root-of-3-equals-0.html9b6d006e71e187c062ad1749f31c085aWe will discuss about the general solution of the equation tan x minus square root of 3 equals 0 (i.e., tan x - √3 = 0) or tan x equals square root of 3 (i.e., tan x = √3).Wed, 27 Dec 2017 16:01:15 -0500Dec 27, Square Root of 2 cos x Minus 1 Equals 0 | √2 cos x - 1 = 0 | cos x = 1/√2
http://www.math-only-math.com/square-root-of-2-cos-x-minus-1-equals-0.htmled59d24155a77be7f0ad37d13cd33e95We will discuss about the general solution of the equation square root of 2 cos x minus 1 equals 0 (i.e., √2 cos x - 1 = 0) or cos x equals 1 by square root of 2 (i.e., cos x = 1/√2).Wed, 27 Dec 2017 15:57:59 -0500Dec 27, Problems on Application of Linear Equations | Real Life Examples
http://www.math-only-math.com/problems-on-application-of-linear-equations.html1b28339c8df2bef0862725147e6c8847Problems which are expressed in words are known as word problems or applied problems. If we practice word problems or applied problems then we understand the simple techniques of translatingWed, 27 Dec 2017 15:32:36 -0500Dec 26, 2 sin x Minus 1 Equals 0 | 2 sin x - 1 = 0 | sin x = ½ | General Solution
http://www.math-only-math.com/2-sin-x-minus-1-equals-0.html956242a5f374c8c30dca86df87ade16dWe will discuss about the general solution of the equation 2 sin x minus 1 equals 0 (i.e., 2 sin x - 1 = 0) or sin x equals half (i.e., sin x = ½).Tue, 26 Dec 2017 17:39:30 -0500Dec 26, Trigonometric Equations | Principal Solutions | General Solutions
http://www.math-only-math.com/trigonometric-equations.html212f4586b4828bf1efe532e5a7957fd8The equations containing trigonometric functions or t-ratios of an unknown angle or real number are known as trigonometric equations.Tue, 26 Dec 2017 17:33:42 -0500Dec 25, Graph of y = cot x | Values of cot x|Graph of y = cot x in the Interval [-π, 2π]
http://www.math-only-math.com/graph-of-y-equals-cot-x.htmle387916a3888f9220f5bc33fab5b6bd7y = cot x is periodic function. The period of y = cot x is π. Therefore, we will draw the graph of y = tan x in the interval [-π, 2π]. For this, we need to take the different values of x at intervalsMon, 25 Dec 2017 17:41:59 -0500Dec 25, Graph of y = sec x | Values of sec x|Graph of y = sec x in the Interval [-π, 2π]
http://www.math-only-math.com/graph-of-y-equals-sec-x.html5860c157f92c80d0196d9e2476aae439y = sec x is periodic function. The period of y = sec x is 2π. Therefore, we will draw the graph of y = sec x in the interval [-π, 2π]. For this, we need to take the different values of x at intervalsMon, 25 Dec 2017 17:35:54 -0500Dec 25, Graph of y = csc x | Values of csc x|Graph of y = csc x in the Interval [-π, 2π]
http://www.math-only-math.com/graph-of-y-equals-csc-x.html0507771b0a3befc66733dbe685bae959y = csc x is periodic function. The period of y = csc x is 2π. Therefore, we will draw the graph of y = csc x in the interval [-π, 2π]. For this, we need to take the different values of x at intervalsMon, 25 Dec 2017 17:07:01 -0500Dec 25, Graph of y = tan x | Values of tan x|Graph of y = tan x in the Interval [-π, 2π]
http://www.math-only-math.com/graph-of-y-equals-tan-x.html1d7f1020f958390838602032439c2770y = tan x is periodic function. The period of y = tan x is π. Therefore, we will draw the graph of y = tan x in the interval [-π, 2π]. For this, we need to take the different values of x at intervalsMon, 25 Dec 2017 15:56:28 -0500Dec 25, Graph of y = cos x | Values of cos x|Graph of y = cos x in the Interval [-π, 2π]
http://www.math-only-math.com/graph-of-y-equals-cos-x.html3801bdc45819298117ea0799bfb32721y = cos x is periodic function. The period of y = cos x is 2π. Therefore, we will draw the graph of y = cos x in the interval [-π, 2π]. For this, we need to take the different values of x at intervalsMon, 25 Dec 2017 15:49:01 -0500Dec 25, Graph of y = sin x | Values of sin x|Graph of y = sin x in the Interval [-π, 2π]
http://www.math-only-math.com/graph-of-y-equals-sin-x.html88c0a6140956bb01434e90bb8d62976ay = sin x is periodic function. The period of y = sin x is 2π. Therefore, we will draw the graph of y = sin x in the interval [-π, 2π]. For this, we need to take the different values of x at intervalsMon, 25 Dec 2017 15:37:56 -0500Dec 25, Graphs of Trigonometrical Functions |Graphs of the Functions sin x, cos x, tan x
http://www.math-only-math.com/graphs-of-trigonometrical-functions.htmle53d8c282c661e3cc93bf8a8b8505c6aWe know how to draw the graphs of algebraic functions. Now using the same procedure we will learn how to draw the graphs of trigonometrical functions.Mon, 25 Dec 2017 15:26:51 -0500Dec 25, Tangents and Cotangents of Multiples or Submultiples | Identities Involving tan
http://www.math-only-math.com/tangents-and-cotangents-of-multiples-or-submultiples.html8e8e294d50dc6f895b63a605c64369a4We will learn how to solve identities involving tangents and cotangents of multiples or submultiples of the angles involved. We use the following ways to solve the identities involving tangentsMon, 25 Dec 2017 15:21:26 -0500Dec 25, Identities Involving Tangents and Cotangents |Express the Sum of the Two Angles
http://www.math-only-math.com/identities-involving-tangents-and-cotangents.htmlbe1085d70e7850f93488e29803a6cee3Identities involving tangents and cotangents of multiples or submultiples of the angles involved. To prove the identities involving tangents and cotangents we use the following algorithm.Mon, 25 Dec 2017 15:00:03 -0500Dec 25, Square of Identities Involving Squares of Sines and Cosines | Sum into Product
http://www.math-only-math.com/square-of-sines-and-cosines-of-multiples-or-submultiples.html722d5fa483f950837e74e46082f91e71We will learn how to solve identities involving square of sines and cosines of multiples or submultiples of the angles involved. We use the following ways to solve the identities involving squareMon, 25 Dec 2017 14:36:29 -0500Dec 25, Identities Involving Squares of Sines and Cosines | Convert the Sum into Product
http://www.math-only-math.com/identities-involving-squares-of-sines-and-cosines.htmld1cfd75e4abbc05d9fd163f373bcb0aeIdentities involving squares of sines and cosines of multiples or submultiples of the angles involved. To prove the identities involving squares sines and cosines we use the following algorithm. Mon, 25 Dec 2017 14:16:46 -0500Dec 25, Sines and Cosines of Multiples or Submultiples |Identities involving sin and cos
http://www.math-only-math.com/sines-and-cosines-of-multiples-or-submultiples.htmld3864792c24c01a23e9ec8f26a6ab85cWe will learn how to solve identities involving sines and cosines of multiples or submultiples of the angles involved. We use the following ways to solve the identities involving sines and cosines.Mon, 25 Dec 2017 14:07:43 -0500Dec 25, Identities Involving Sines and Cosines | Trigonometric Ratio of the Single Angle
http://www.math-only-math.com/identities-involving-sines-and-cosines.html67b05185a3d778b50a79a95702ebfda6Identities involving sines and cosines of multiples or submultiples of the angles involved. To prove the identities involving sines and cosines we use the following algorithm.Mon, 25 Dec 2017 10:51:02 -0500Dec 25, Conditional Trigonometric Identities |Important Identities Involving Trig Ratios
http://www.math-only-math.com/conditional-trigonometric-identities.htmld36ec430bca5f5721a2c63689bcd7047In conditional trigonometric identities we will discuss certain relationship exists among the angles involved. We know some of the trigonometric identities which were true for all values of theMon, 25 Dec 2017 10:44:11 -0500Dec 24, Problems on Submultiple Angles | Application Submultiple Angles Formula
http://www.math-only-math.com/problems-on-submultiple-angles.htmlf875455bbdc74c5b9c2c861592f103a7We will learn how to solve the problems on submultiple angles formula. Show that using the formula of submultiple angles tan 6˚ tan 42˚ tan 66˚ tan 78˚ = 1.Sun, 24 Dec 2017 14:43:17 -0500Dec 24, Submultiple Angle Formulae | Trigonometrical Ratios of Submultiple Angle
http://www.math-only-math.com/submultiple-angle-formulae.html1d8cf91e1c574aca086f00140417fb16The important trigonometrical ratios of submultiple angle formulae are given below: sin A = 2 sin A/2 cos A/2Sun, 24 Dec 2017 14:37:35 -0500Dec 24, How to Find the Exact Value of tan 142½°? |Submultiple Angles|Value of tan 142½°
http://www.math-only-math.com/exact-value-of-tan-142-and-half-degree.html9839df785df66ccf23485a64534d95ceHow to find the exact value of tan 142½° using the value of sin 15° and cos 15°? Solution: For all values of the angle A and B we know that, tan (A + B) =Sun, 24 Dec 2017 14:33:46 -0500Dec 24, How to Find the Exact Value of tan 72°? | Submultiple Angles | Value of tan 72°
http://www.math-only-math.com/exact-value-of-tan-72-degree.html6d9989410bb2ca204ffb431f3a179dd8We will learn to find the exact value of tan 72 degrees using the formula of submultiple angles. How to find the exact value of tan 72°?Sun, 24 Dec 2017 14:21:51 -0500Dec 24, How to Find the Exact Value of cos 72°? | Submultiple Angles | Value of cos 72°
http://www.math-only-math.com/exact-value-of-cos-72-degree.htmld8ddc5c16739e2e279677ca6c474932eWe will learn to find the exact value of cos 72 degrees using the formula of submultiple angles. How to find the exact value of cos 72°?Sun, 24 Dec 2017 14:17:01 -0500Dec 24, How to Find the Exact Value of sin 54°? | Submultiple Angles | Value of sin 54°
http://www.math-only-math.com/exact-value-of-sin-72-degree.htmlcbfaa36d522767106278c3a5e5019056We will learn to find the exact value of sin 72 degrees using the formula of submultiple angles. How to find the exact value of sin 72°?Sun, 24 Dec 2017 14:10:52 -0500Dec 24, How to Find the Exact Value of tan 54°? | Submultiple Angles | Value of tan 54°
http://www.math-only-math.com/exact-value-of-tan-54-degree.htmlf758f727fd151a3c7288e53ec8ee7d5dWe will learn to find the exact value of tan 54 degrees using the formula of multiple angles. How to find exact value of tan 54°?Sun, 24 Dec 2017 14:06:38 -0500Dec 23, How to Find the Exact Value of cos 54°? | Submultiple Angles | Value of cos 54°
http://www.math-only-math.com/exact-value-of-cos-54-degree.htmlbb8cb6026ad502feb613b3a1cc883dbdWe will learn to find the exact value of cos 36 degrees using the formula of multiple angles. How to find exact value of cos 54°?Sat, 23 Dec 2017 17:25:00 -0500Dec 23, How to Find the Exact Value of sin 54°? | Submultiple Angles | Value of sin 54°
http://www.math-only-math.com/exact-value-of-sin-54-degree.html35917bb80f4a9517502fc947e24e336cWe will learn to find the exact value of sin 54 degrees using the formula of submultiple angles. How to find the exact value of sin 54°?Sat, 23 Dec 2017 16:51:03 -0500Dec 23, Exact Value of cos 36° | Find Exact Value of cos 36 Degree? | Multiple Angles
http://www.math-only-math.com/exact-value-of-cos-36-degree.htmle2b34b73f720f1f58e36f0c0f79cbb60We will learn to find the exact value of cos 36 degrees using the formula of multiple angles. How to find exact value of cos 36°?Sat, 23 Dec 2017 16:40:28 -0500Dec 22, How to Find the Exact Value of tan 27°? | Submultiple Angles | Value of tan 27°
http://www.math-only-math.com/exact-value-of-tan-27-degree.htmleda391a193c34a9023c94fb1ddf2aff9We will learn to find the exact value of tan 27 degrees using the formula of submultiple angles. How to find the exact value of tan 27°?Fri, 22 Dec 2017 15:59:54 -0500Dec 22, How to Find the Exact Value of cos 27°? | Submultiple Angles | Value of cos 27°
http://www.math-only-math.com/exact-value-of-cos-27-degree.html862c1afda12fd1a75b8899e3ec7b63fcWe will learn to find the exact value of cos 27 degrees using the formula of submultiple angles. How to find the exact value of cos 27°?Fri, 22 Dec 2017 15:50:41 -0500Dec 22, How to Find the Exact Value of sin 27°? | Submultiple Angles | Value of sin 27°
http://www.math-only-math.com/exact-value-of-sin-27-degree.htmlafbddcc807a1870b619abc56d6b18edfWe will learn to find the exact value of sin 27 degrees using the formula of submultiple angles. How to find the exact value of sin 27°?Fri, 22 Dec 2017 15:47:17 -0500