Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

The diagram depicts the curve given by equation $y = 4\cos 2x + 8\sin x$ for $0 \leq x \leq \pi$. The curve’s maximum points are labelled $A$ and $B$, and the shaded region is enclosed by the line segment $AB$ and the curve.
(a)[5]

Find the coordinates for $A$ and $B$.

(b)[6]

Find the exact area of the shaded region.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate to get $-8\sin2x+8\cos x$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI