Question

prove the identity sin teta/cosec teta + cos teta/sec teta=1

Answer 1

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Answer 2

It's quite easy,
Hope that it will help you.

Your question is:- sin theta/cosec theta + cos theta/sec theta = 1
So take,
L.H.S:
sin theta/cosec theta + cos theta/sec theta
>sin theta×1/cosec theta + cos theta×1/sec theta
>sin theta×sin theta + cos theta×cos theta
>sin sq. theta + cos sq. theta
> 1 (using the identity sin sq. theta + cos sq. theta = 1)
And therefore L.H.S = R.H.S