turunan peristiwa dari fungsi f(x) = 1+cos x per sin x adalah f'(x)

F(x)=(sin x-cos x)/ sin x

f'(x) = (cosx+ sinx )sinx - (sinx-cosx) cosx/ sin^2 x

f'(x) =[ cosx.sinx + sin^2 x - sinx.cosx + cos^2 x] / sin^2 x

f'(x) = [sin^2 x + cos^2 x] /sin^2 x

f'(x) = 1/sin^2 x

f'(x) = cosec^2 x