Question

Prove that 1+sin theta/cos theta +cos theta/1+sin theta=2sec theta

Answer 1

Hey dear here is ur answer ********
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1+sin theta/cos theta +cos theta/1+sin theta

={(1+sin^2 theta)+cos^2 theta}/cos theta (1+sin theta)

={1+sin^2 theta+2 sin theta+cos^2 theta}/cos theta (1+sin theta)

=2(1+sin theta)/cos theta (1+sin theta)

=2/ cos theta

=2 sec theta [Proved.]

Hope it will help u @@@###

Answer 2

Step-by-step explanation:

Hey friend this may help you