Prove that (sin theta+cosec theta)sqare+(cos theta+sec theta)sqare --(tansqare theta+ cot square theta)=7
Answers
Answered by
0
L.H.S.= sin^2theta + cosec^2theta+ 2sinthetacosectheta +cos^2theta + sec^2theta + 2costhetasectheta - tan^2theta - cot^ 2theta
=1 + 1 + tan^2theta + 2 + 1 + cot^ 2theta + 2 - tan^2theta - cot^ 2theta
=7
RHS=LHS
Hence proved
=1 + 1 + tan^2theta + 2 + 1 + cot^ 2theta + 2 - tan^2theta - cot^ 2theta
=7
RHS=LHS
Hence proved
Similar questions