Question

guys please help me question is in attachment.rd sharma class 10 session 2020-21.​

Answer 1

Explanation:

Consider 1+tan2theta/1+cot2theta

=sec2theta/cosec2theta

=1/cos2theta × sin2theta

=tan2theta

Next (1-tan theta/1-cot theta)2

=(1-tan theta/1-1/tan theta)2

=(1-tan theta)2/(tan theta-1/tan theta)2

=[tan theta(1- tan theta)/tan theta-1]2

=[-tan theta (tan theta-1)/tan theta-1]2

=tan2 theta

From above it is clear that both = tan2 theta