Question

IF 2 COT A 3 =, CHECK WHETHER 1-TAN^2 / 1+ TAN^2 = COS^2 - SIN^2 OR NOT ?

PLEASE WRITE SOLUTION WITH STEPS

Answer 1

Step-by-step explanation:

$given \\ 2 \cot( \alpha ) = 3 \\ \cot( \alpha ) = \frac{3}{2} \\ \\ lhs \\ \\ \frac{1 - \tan( \alpha ) }{1 + \tan( \alpha ) } = \frac{1 - \frac{ \sin( \alpha ) }{ \cos( \alpha ) } }{1 + \frac{ \sin( \alpha ) }{ \cos( \alpha ) } } \\ \frac{ \cos( \alpha - \sin( \alpha ) ) }{ \cos( \alpha + \sin( \alpha ) ) } \\ =$