First slide

Compound angles

Question

If $0 < A < B < π, \sin A + \sin B = \sqrt{\frac{3}{2}}$ and $\cos A + \cos B = \frac{1}{\sqrt{2}},$ then A =

Moderate

A

$15 °$
B

$30 °$
C

$45 °$
D

$22 \frac{1 °}{2}$

Solution

squaring and adding, we get $B = A + \frac{π}{2}$

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