(a)[4]
Given that the $x$-coordinate of $M$ lies in the interval $\tfrac{1}{2}\pi < x < \tfrac{3}{4}\pi$, Find the exact coordinates of $M$.
(b)[4]
Find the exact area enclosed by region $R$.
Mathematics 9709 · AS & A Level · Trigonometry
Trigonometry — practice question
The diagram depicts the curve $y = \sin 2x(1 + \sin 2x)$, with $0 \leq x \leq \tfrac{3}{4}\pi$, together with its minimum point $M$. The shaded area enclosed by the part of the curve above the $x$-axis and the $x$-axis itself is labelled $R$.