Answer:
steps below
Step-by-step explanation:
sin(2x) +cos(2x)=1+sin(x)
2sinxcosx + (1 - 2sin²x) = 1 + sinx
(2sinxcosx - 2sin²x) +1 = 1 + sinx
2sinx(cosx-sinx) + 1 = 1 + sinx .. minus 1 both side
2sinx(cosx-sinx) = sinx ... sinx ≠ 0, divide sinx both side
2(cosx-sinx) = 1