Question

prove cos2theta/sin theta + sin theta= cosec theta

Answer 1

Step-by-step explanation:

Prove that ) cos^2 theta / sin theta + sin theta = cosec^2 theta

L.H.S = cos^2 theta / sin theta + sin theta

cos^2 theta + sin^2 theta / sin theta = 1/ sin theta

{ sin^2 theta + cos^2 theta = 1}

= 1/ sin theta

= cosec theta { 1/ sin theta= cosec theta}

R.H.S = cosec theta

Hence, Proved.