Question

(1+tan^2theta) cot theta\cosec^2 theta= tan theta

Answer 1

Answer:

Step-by-step explanation

LHS

=(1+ tan^2 theta) cot theta / cosec^2 theta = tan theta

=(1+ sin^2 theta/ cos^2 theta) cos theta/ sin theta/ 1 / sin^2 theta

= cos^2 theta + sin^2 theta/ cos^2 theta * cos theta / sin theta/ 1/ sin^2 theta

=cos^2 theta + sin^2 theta/ cos theta sin theta / 1 / sin^2 theta

=1/cos theta sin theta / 1 / sin theta

= sin^2 theta /cos theta sin theta

=sin theta / cos theta

= tan theta = RHS