Question

Tolong no 5 yaaa turunan fungsi trigonometri

Answer 1

W(t) = (cos t + 2t) / (sin t) = u/v
u = cos t + 2t => u' = -sin t + 2
v = sin t => v' = cos t
w'(t) = (u' v - v' u) / v²
= (-sin t + 2) (sin t) - cos t (cos t + 2t)) / sin² t
= (-sin² t + 2sin t - cos² t + 2t cos t) / sin² t
= (2 sin t + 2t cos t - (sin² t + cos² t)) / sin² t
= (2 sin t + 2t cos t - 1) / sin² t