Find all the angles between $-\pi$ and $\pi$ that satisfy the equation \(2 \cos 2x = 4 \sin x +

Question

Find all the angles between $-\pi$ and $\pi$ that satisfy the equation $2 \cos 2x = 4 \sin x + 3$.[3] Solve the equation $3 \operatorname{cosec} ^2x - \operatorname{cosec} x=2-\cot^2x$ for $0^\circ \leq x \leq 360^\circ$[5]

Accepted Answer

(a)x=$-\frac{\pi}{6},-\frac{5\pi}{6}$ (b)$x=90^\circ$

2025 MGS PRELIMS P1 Q7

2025 MGS PRELIMS P1 Q7