The equation of a curve is \[ y = \cot x - 8 \cos x, \quad (0 < x < \pi). \] Find the coordinates of the points on the curve where \(\dfrac{dy}{dx} = 0\).

Sketch the curve.

The equation of a curve is \[ y = \cot x - 8 \cos x, \quad (0 < x < \pi). \] Find the coordinates of the points on the curve where \(\dfrac{dy}{dx} = 0\).

Sketch the curve.