$A$ and $B$ are acute angles, such that $\cos A = \frac{3}{5}$ and \(\tan B = \frac{12}{5

Question

$A$ and $B$ are acute angles, such that $\cos A = \frac{3}{5}$ and $\tan B = \frac{12}{5}$. Find the exact values of $\tan 2A$,[2] $\sin\left(B + \frac{3\pi}{2}\right)$,[3] $\cos\frac{B}{2}$ [3]

Accepted Answer

(a) $-\frac{24}{7}$ (b) $-\frac{5}{13}$ (c) $\frac{3}{\sqrt{13}}$

2025 DSS PRELIMS P2 Q2

2025 DSS PRELIMS P2 Q2

Solution:

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