Question

(sintheta minus cosectheta) =1/tantheta+cottheta​

Answer 1

Answer:

Step-by-step explanation:

sin theta - cosec theta = sin theta - 1/sin theta

= sin^2 theta -1 / sin theta

=  -cos^2 theta /sin theta ..

now rhs =

1/tan theta + 1/tan theta

=1/tan^2 theta +1/tan theta

=tan theta / sec^2 theta

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

=-cos^2 theta /sin theta  ( on substituting )

hence proved