Trigonometric Formulae? - Tricks:12th Class

    SUPER HEXAGON TECHNIQUE FOR TRIGONOMETRIC FORMULAS

Tricks to remember formulae in Trigonometry

As Trigonometric functions have a lot of applications in different fields,so by using PALM TRICK , the values of  Trigonometric functions for different standard angles can easily be calculated. 

Palm Trick is very easy and useful method to remember all the values for Trigonometric functions.

Now, let us introduce the SUPER HEXAGON FOR TRIGONOMETRIC FORMULAS.

At left side of Hexagon, there is a trigonometric function like sin,tan,sec and their conversions on right hand side of Hexagon, as follows..

1) sin Ө = cos (90-Ө)

2) tan Ө = cot (90-Ө)

3) sec Ө = cosec (90-Ө)

At vertices all important functions.

CLOCKWISE

4) tan Ө = sin Ө/cos Ө

5) sin Ө = cos Ө/cot Ө

6) cos Ө = cot Ө/cosec Ө

7) cot Ө = cosec Ө/sec Ө

8) cosec Ө = sec Ө/tan Ө

9) sec Ө = tan Ө/sin Ө 

ANTICLOCKWISE

10) tan Ө = sec Ө/cosec Ө

11) sin Ө = tan Ө/sec Ө

12) cos Ө = sin Ө/tan Ө 

Observe Direction of Rays

13) tan Ө X cos Ө = sin Ө

14) tan Ө X cosec Ө = sec Ө

15) cos Ө X cosec Ө = cot Ө

16)  sin Ө X cot Ө = cos Ө

Observe the center of hexagon there is "1"

18) sin Ө X cosec Ө = 1

19)  cos Ө  X  sec Ө = 1

20)  tan Ө X cot Ө = 1