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.


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

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.

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.

Share this page: What’s this?

Recent Articles

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

    Feb 28, 24 04:07 PM

    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

  2. Equivalent Fractions | Fractions |Reduced to the Lowest Term |Examples

    Feb 28, 24 01:43 PM

    Equivalent Fractions
    The fractions having the same value are called equivalent fractions. Their numerator and denominator can be different but, they represent the same part of a whole. We can see the shade portion with re…

    Read More

  3. Fraction as a Part of Collection | Pictures of Fraction | Fractional

    Feb 27, 24 02:43 PM

    Pictures of Fraction
    How to find fraction as a part of collection? Let there be 14 rectangles forming a box or rectangle. Thus, it can be said that there is a collection of 14 rectangles, 2 rectangles in each row. If it i…

    Read More

  4. Fraction of a Whole Numbers | Fractional Number |Examples with Picture

    Feb 24, 24 04:11 PM

    A Collection of Apples
    Fraction of a whole numbers are explained here with 4 following examples. There are three shapes: (a) circle-shape (b) rectangle-shape and (c) square-shape. Each one is divided into 4 equal parts. One…

    Read More

  5. Identification of the Parts of a Fraction | Fractional Numbers | Parts

    Feb 24, 24 04:10 PM

    Fractional Parts
    We will discuss here about the identification of the parts of a fraction. We know fraction means part of something. Fraction tells us, into how many parts a whole has been

    Read More