Question

2sinx+(1-sinx)^2=2-cos^2x
Prove identity
Will give medal

Answer 1

L.H.S = 2sinx + (1- sinx)^2 = 2sinx + 1 + sin^2x -2sinx = 1 + sin^2x -> (1)

sin^2x + cos^2x = 1

sin^2x = 1 - cos^2x ->(2)

from both (1), (2);

L.H.S = 1 + 1 - cos^2x = 2- cos^2x = R.H.S #