sin theta/1-cos theta=1+cos theta/sin theta
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take the lhs:-
sin theta/1-cos theta
multiply the numerator and denominator by 1+cos theta
=>sin theta *(1+cos theta)/1-cos theta*(1+cos theta)
=>sin theta*(1+cos theta)/1-cos^2theta
from sin^2theta +cos^2theta=1, we get 1-cos^2theta =sin^2theta
=>sin theta*(1+cos theta)/sin^2 theta
cancelling ,
=>1+cos theta/sin theta
therefore LHS=RHS
Hence verified..
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