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  4. The value of cos 15° cos 7 (1/2)° sin 7 (1/2)° is

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Q. The value of $\cos 15^{\circ} \cos 7 \frac{1}{2}^{\circ} \sin 7 \frac{1}{2}^{\circ}$ is

Solution:

$\cos 15^{\circ} \cos 7 \frac{1}{2}^{\circ} =\frac{\left(2 \sin 7 \frac{1}{2}^{\circ} \cos 7 \frac{1}{2}^{\circ}\right) \cos 15^{\circ}}{2}$
$=\frac{1}{2} \times \frac{1}{4}=\frac{1}{8}$