Prove that sin theta by 1 + cos theta + 1 + cos theta by sin theta is equal to 2 cos theta
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Step-by-step explanation:
= (sin theta/1+cos theta)+(1+cos theta/ sin theta)
= (sin² theta+1+cos² theta+2cos theta)/(1+cos theta)sin theta
= 2+2cos theta/sin theta(1+cos theta)
=2(1+cos theta)/sin theta(1+cos theta)
= 2 / sin theta
= 2 cosec theta
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