Question

Prove that 1/(1+cot^2A)+cos*2A=1

Answer 1

cos 2A + 1/( cosec2A)                 ( 1+ cot2A=cosec2A)
cos 2A+1/1/SIN2 A                             (COSEC2A=1/SIN2A)
COS2A + SIN2A=1

Answer 2

Hi friend!!

Given

1/(1+cot²A) +cos²A=1

[We know that cosec²A-cot²A=1

→1+cot²A=cosec²A]

→1/cosec²A+cos²A=1

=sin²A+cos²A=1

=1=1

Hence proved.

I hope this will help you ;)