Given that $\sin A$ and $\cos B$ are in the same quadrant such that \(\sin A = \frac{3

Question

Given that $\sin A$ and $\cos B$ are in the same quadrant such that $\sin A = \frac{3}{5}$ and $\cos B = -\frac{5}{13}$. Find, without using a calculator, the value of $\cos(A - B)$,[2] $\cos \frac{A}{2}$.[3]

Accepted Answer

(a)$\frac{56}{65}$ (b)$\frac{\sqrt{10}}{10}$

2025 AHS PRELIMS P1 Q10

2025 AHS PRELIMS P1 Q10