First slide

Compound angles

Question

$\sin^{2} (\frac{π}{8} + \frac{A}{2}) - \sin^{2} (\frac{π}{8} - \frac{A}{2})$ is equal to

Moderate

A

$(1 / \sqrt{2}) \sin A$
B

$(1 / \sqrt{2}) \cos A$
C

$\sqrt{2} \sin A$
D

$\sqrt{2} \cos A$

Solution

Use : $\sin^{2} A - \sin^{2} B = \sin (A - B) \sin (A + B)$

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