(sintheta minus cosectheta) =1/tantheta+cottheta
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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
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