Verify: (sin 𝑥/cosx+1) + (cos 𝑥−1/sinx) = 0

Answer 1

sinx/(cosx+1) + (cosx-1)/sinx = 0

sinx/(cosx+1) = -(cosx-1)/sinx multiply by sinx

sin^2x/(cosx+1) = -(cosx-1) multiply by cosx+1

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

1=cos^2x + sin^2x