Question

Prove that tan^2/(1+tan^2A=sin*2)=sin^2A

Answer 1

If u can understand ...
then fine....
ok..
picture is not so light

Answer 2

To proof:

tan²A - sin²A = tan² A sin²A

from LHS,

tan²A -sin²A

= (sin²A / cos²A) - sin²A……[tan A=sin A/cos A]

= (sin²A - sin²Acos²A) / cos²A

= sin²A (1- cos²A) / cos² A [tan A = sinA / cos A]

= tan²A sin²A= RHS

.•. hence proved