All Sin Tan Cos Rule

What is all sin tan cos rule?

All sin tan cos rule is all trigonometrical ratios in the first quadrant, only sin (and cosec) in the second quadrant, only tan (and cot) in the third quadrant and only cos (and sec) in the fourth quadrant are positive.

We know the signs of trigonometrical ratios are:

All Sin Tan Cos Rule

(i) When the θ lies in the first quadrant:  All trigonometrical ratios of the angle θ are positive.


(ii) When the θ lies in the second quadrant: Only sin θ, csc θ are positive and the rest are negative.

(iii) When the θ lies in the third quadrant: Only tan θ and cot θ are positive and the rest are negative

(iv) When the θ lies in the fourth quadrant: Only cos θ and sec θ are positive and the rest are negative.

Therefore, the above rule for the signs of trigonometrical ratios is also known “all, sin, tan, cos” rule.


Note:

1. The relations of all the trigonometrical ratios of a positive acute angle and angle θ can either be positive or negative.

2. The values of sin θ cannot be greater than 1 i.e., -1 ≤ sin θ ≤ 1

3. The values of cos θ cannot be greater than 1 i.e., -1 ≤ cos θ ≤ 1

4. The values of sec θ cannot be less than 1 i.e., sec Ѳ ≥ 1 or sec θ ≤ -1

5. The values of csc θ cannot be less than 1 i.e., csc θ ≥ 1 or csc θ ≤ -1

6. Tan θ and cot θ can have any real values.


 Trigonometric Functions







11 and 12 Grade Math

From All Sin Tan Cos Rule to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Types of Fractions |Proper Fraction |Improper Fraction |Mixed Fraction

    Jul 12, 24 03:08 PM

    Fractions
    The three types of fractions are : Proper fraction, Improper fraction, Mixed fraction, Proper fraction: Fractions whose numerators are less than the denominators are called proper fractions. (Numerato…

    Read More

  2. Worksheet on Fractions | Questions on Fractions | Representation | Ans

    Jul 12, 24 02:11 PM

    Worksheet on Fractions
    In worksheet on fractions, all grade students can practice the questions on fractions on a whole number and also on representation of a fraction. This exercise sheet on fractions can be practiced

    Read More

  3. Fraction in Lowest Terms |Reducing Fractions|Fraction in Simplest Form

    Jul 12, 24 03:21 AM

    Fraction 8/16
    There are two methods to reduce a given fraction to its simplest form, viz., H.C.F. Method and Prime Factorization Method. If numerator and denominator of a fraction have no common factor other than 1…

    Read More

  4. Conversion of Improper Fractions into Mixed Fractions |Solved Examples

    Jul 12, 24 12:59 AM

    To convert an improper fraction into a mixed number, divide the numerator of the given improper fraction by its denominator. The quotient will represent the whole number and the remainder so obtained…

    Read More

  5. Conversion of Mixed Fractions into Improper Fractions |Solved Examples

    Jul 12, 24 12:30 AM

    Conversion of Mixed Fractions into Improper Fractions
    To convert a mixed number into an improper fraction, we multiply the whole number by the denominator of the proper fraction and then to the product add the numerator of the fraction to get the numerat…

    Read More