Question 20
The diagram shows the curve $y = \cos x\sqrt{\sin 2x}$ for $0 \le x \le \frac{1}{2}\pi$. The curve has a maximum point at $M$, where $x = a$.
**(a)** Find the exact value of $a$.
Cambridge AS & A Level. 2025. Mathematics (9709). May/June - Paper 3 (31) · Pure Mathematics 3 - Question 20
Cambridge AS & A Level · Paper 3 (31) · Pure Mathematics 3
The diagram shows the curve $y = \cos x\sqrt{\sin 2x}$ for $0 \le x \le \frac{1}{2}\pi$. The curve has a maximum point at $M$, where $x = a$.
**(a)** Find the exact value of $a$.
