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We will learn step-by-step the proof of compound angle formula cos^2 α - sin^2 β. We need to take the help of the formula of cos (α + β) and cos (α - β) to proof the formula of

Continue reading "Proof of Compound Angle Formula cos^2 α - sin^2 β | Solved Examples"

We will learn step-by-step the proof of compound angle formula sin^2 α - sin^2 β. We need to take the help of the formula of sin (α + β) and sin (α - β) to proof the formula of

Continue reading "Proof of Compound Angle Formula sin^2 α - sin^2 β | Solved Examples"

We will learn step-by-step the proof of compound angle formula cos (α - β). Here we will derive formula for trigonometric function of the difference of two real numbers or angles

Continue reading "Proof of Compound Angle Formula cos (α - β) | Trigonometric Identities"

We will learn step-by-step the proof of compound angle formula sin (α - β). Here we will derive formula for trigonometric function of the difference of two real numbers or angles and their

Continue reading "Proof of Compound Angle Formula sin (α - β) | Subtraction Formulae"

We will learn step-by-step the proof of compound angle formula cos (α + β). Here we will derive formula for trigonometric function of the sum of two real numbers or angles and their related result.

Continue reading "Proof of Compound Angle Formula cos (α + β) | Addition Formulae"

We will learn step-by-step the proof of compound angle formula sin (α + β). Here we will derive formula for trigonometric function of the sum of two real numbers or angles and their related result.

Continue reading "Proof of Compound Angle Formula sin (α + β) | Trigonometric Identities"

What is the relation among all the trigonometrical ratios of (90° + Ѳ)? In trigonometrical ratios of angles (90° + θ) we will find the relation between all six trigonometrical ratios.

Continue reading "Trigonometrical Ratios of (90° + θ) | Relation Between All Six Trig Ratios"

What is the relation among all the trigonometrical ratios of – θ? In trigonometrical ratios of angles (-Ѳ) we will find the relation between all six trigonometrical ratios.

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What is compound angle? The algebraic sum (+) or difference (-) of two or more angles is called a compound Angle. For example, if α, β, γ are three given angles then each of the angles

Continue reading "Compound Angle | Develop the Formulae | Study their Application"

We will learn how to solve various type of problems on signs of trigonometrical ratios of any angles.

Continue reading "Problems on Signs of Trigonometrical Ratios | Trigonometric Ratios of an Angle"

We will learn how to solve various type of problems on trigonometric functions of any angles.

Continue reading "Trigonometric Functions of any Angles | Trigonometric Ratios"

We will learn how to solve different types of problems on trigonometric ratios of an angle. 1. Which of the six trigonometric function are positive for x = -10π/3?

Continue reading "Problems on Trigonometric Ratios of an Angle | Co-terminal Angle"

We will learn how to find the values of trigonometric ratios of an angle. The questions are related to find the values of trigonometric functions of a real number x (i.e., sin x, cos x, tan x, etc.)

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What is the relation among all the trigonometrical ratios of (90° - θ)? In trigonometrical ratios of angles (90° - θ) we will find the relation between all six trigonometrical ratios.

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Trigonometrical ratios of some particular angles i.e., 120°, -135°, 150° and 180° are given below. 1. sin 120° = sin (1 × 90° + 30°) = cos 30° = √3/2;

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We will learn how to find the trigonometrical ratios of any angle using the following step-by-step procedure. Step I: To find the trigonometrical ratios of angles (n ∙ 90° ± θ); where n is an integer

Continue reading "Trigonometrical Ratios of any Angle | “All, sin, tan, cos” Rule | Examples"

We will find the results of trigonometrical Ratios of (360° - θ) and (n ∙ 360° - θ). If n is a negative integer then the trigonometrical ratios of (n ∙ 360° - θ) are equal to the trigonometrical

Continue reading "Trigonometrical Ratios of (360° - θ) | Relation Between All Six Trig Ratios"

We will find the results of trigonometrical ratios of (360° + θ) and (n ∙ 360° + θ). If n is a positive integer then the trigonometrical ratios of (n ∙ 360° + θ) are equal to the trigonometrical

Continue reading "Trigonometrical Ratios of (360° + θ) | Relation Between All Six Trig Ratios"

What are the relations among all the trigonometrical ratios of (270° - θ)? In trigonometrical ratios of angles (270° - θ) we will find the relation between all six trigonometrical ratios.

Continue reading "Trigonometrical Ratios of (270° - θ) | Relation Between All Six Trig Ratios"

What are the relations among all the trigonometrical ratios of (270° + θ)? In trigonometrical ratios of angles (270° + θ) we will find the relation between all six trigonometrical ratios.

Continue reading "Trigonometrical Ratios of (270° + θ) | Relation Between All Six Trig Ratios"

What are the relations among all the trigonometrical ratios of (180° - θ)? In trigonometrical ratios of angles (180° - θ) we will find the relation between all six trigonometrical ratios.

Continue reading "Trigonometrical Ratios of (180° - θ) | Relation Between All Six Trig Ratios"

What are the relations among all the trigonometrical ratios of (180° + θ)? In trigonometrical ratios of angles (180° + θ) we will find the relation between all six trigonometrical ratios.

Continue reading "Trigonometrical Ratios of (180° + θ) | Relation Between All Six Trig Ratios"

Practice the questions given in the worksheet on sum, difference, product, quotient. The questions are based on addendum, minuend and subtrahend, multiplicand and multiplier, dividend and divisor.

Continue reading "Worksheet on Sum, Difference, Product, Quotient | Minuend and Subtrahend"

Practice the questions given in the worksheet on word problems on four operations i.e. addition (+), subtraction (-), multiplication (×) and division (÷).

Continue reading "Worksheet on Word Problems on Four Operations | Questions on Four Operations"

Practice the questions given in the worksheet on division problems by 2-digit divisors. Solve the following: 1. The cost of 15 books of the same price is $1635. Find the cost of one book.

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Practice the questions given in the worksheet on divide by 10, 100 and 1000 divisors to find the quotient and remainder if any. Find the quotient and remainder (if any):

Continue reading "Worksheet on Divide by 10, 100 and 1000 Divisors | find the quotient & remainder"

We will learn how to divide by 10, 100 and 1000 divisors to find the quotient and remainder. Let us consider some examples: So, 3458 ÷ 10 = 345 with remainder 8

Continue reading "Divide by 10, 100 and 1000 Divisors | Find the Quotient and Remainder"

We will learn step-by-step how to divide by 2-digit divisors. Let us consider some examples of division by two-digit numbers or divisors. 1. Divide 618 by 12. Quotient = 51 Remainder = 6

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In division we will see the relationship between the dividend, divisor, quotient and remainder. The number which we divide is called the dividend. The number by which we divide is called the divisor.

Continue reading "Dividend, Divisor, Quotient and Remainder |Properties of Division |Some Examples"

Practice the questions given in the worksheet on divide by 2-digit divisors. We know after dividing the dividend by the divisors the result obtained is called the quotient and the number left over is

Continue reading "Worksheet on Divide by 2-digit Divisors | Find the Quotient and Remainder"

We will learn the conversion of Roman numeration. First we will learn how to convert numbers in roman numerals. 1. Convert 579 in roman numerals.

Continue reading "Conversion of Roman Numeration | Roman Numerals | Hindi Arabic Numerals"

Practice the questions given in the worksheet on Roman Numeration. The questions are based on roman numeration and their rules. 1. Represent the following numbers in Roman Numerals:

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In 5th grade math problems you will get all types of examples on different topics along with the solutions. Keeping in mind the mental level of child in Grade 5, every efforts has been made

Continue reading "5th Grade Math Problems | 5th Grade Math | Fifth Grade Math Problems"

We will learn about Roman Numeration and its rules. We know that there are seven basic Roman Numerals. They are I, V, X, L, C, D and M. These numerals stand for the number 1, 5, 10, 50, 100, 500

Continue reading "Rules of Roman Numeration | Roman Number System | Roman Numeration System"

Practice the questions given in the worksheet on dividend, divisor, quotient and remainder. We know the number which we divide is called the dividend and the number by which we divide is called the

Continue reading "Worksheet on Dividend, Divisor, Quotient and Remainder | Find the Quotient"

Practice the questions given in the worksheet on multiplicand and multiplier. We know the number to be multiplied is called the multiplicand and the number with which we multiply is called

Continue reading "Worksheet on Multiplicand and Multiplier | Questions on Multiplication | Answers"

We will learn about the multiplier by 10, 100, 1000, 10000. We add a zero to the extreme right of the multiplicand while by 10. For example: (i) 26 × 10 = 260 (ii) 524 × 10 = 5240

Continue reading "Multiplier by 10, 100, 1000, 10000 |Multiplication by Multiples of 10, 100, 1000"

We will learn about the multiplicand and multiplier. The number to be multiplied is called the multiplicand. The number with which we multiply is called the multiplier.

Continue reading "Multiplicand and Multiplier |Properties of Multiplication |Associative Property "

Practice the questions given in the worksheet on minuend and subtrahend. We know the larger number from which smaller number is subtracted is called the minuend and the smaller number which

Continue reading "Worksheet on Minuend and Subtrahend | Arrange in Columns and Subtract"

Practice the questions given in the worksheet on word problems on minuend and subtrahend. I. Find the difference: (i) 693843 – 392622 (ii) 898743 -465423

Continue reading "Worksheet on Word Problems on Minuend and Subtrahend | Minuend and Subtrahend"

We will learn about the meaning of minuend and subtrahend. The larger number from which smaller number is subtracted is called the minuend. The smaller number which is subtracted is called subtrahend.

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Each of the number that we add is called an addendum. The resulting number is called the sum. 2 or more than 2 numbers to be added are called addenda (plural form of addendum). Here 2438 and 2949 are

Continue reading "Addendum | Properties of Addition | Order Property of Addition | Word Problems"

Practice the questions given in the worksheet on word problems on addendum. I. Find the sum: (i) 243415 + 124359 (ii) 543821 + 271065

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Practice the questions given in the worksheet on addendum or addition. We know each numbers that we add is called an addendum. I. Find the sum of the following addenda:

Continue reading "Worksheet on Addendum | Addition or Addendum | Questions on Addition"

Practice the questions given in the worksheet on Roman symbols. The questions are based on Roman symbols and rules to write Roman numbers.

Continue reading "Worksheet on Roman Symbols | Rules to write Roman Numbers | Hindu-Arabic"

Do we know from where Roman symbols came? In Rome, people wanted to use their own symbols to express various numbers. These symbols, used by Romans, are known as Roman symbols, Romans used only seven

Continue reading "Roman Symbols | What are Roman Numbers? | Roman Numeration System"

Practice the questions given in the worksheet on word problems on expressing numbers. The word problems are based on expressing Indian and International numbering systems.

Continue reading "Worksheet on Word Problems on Expressing Numbers | Numbering Systems"

Practice the questions given in the worksheet on numbering systems. The questions are based on two types of numbering systems i.e. Indian numbering system and International numbering system.

Continue reading "Worksheet on Numbering Systems | Indian & International Numbering System"

We know skip counting numbers with smaller numbers. Now, we will learn skip counting with larger numbers. Write the number as per following instruction: 1. Write six numbers more after 2,00,000

Continue reading "Skip Counting Numbers | Method of Skip Counting | Skip Counting"

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