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  4. The value of sin (5 π/12) sin (π/12) is

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Q. The value of $\sin \frac{5 \pi}{12} \sin \frac{\pi}{12}$ is

KCETKCET 2022Trigonometric Functions

Solution:

$\sin \frac{5 \pi}{12} \cdot \sin \frac{\pi}{12}$
$=\frac{1}{2} \sin \frac{\pi}{6}$
$=\frac{1}{2}+\frac{1}{2}=\frac{1}{4}$