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  4. Value of tan 15° ⋅ tan 45° tan 75° is

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Q. Value of $\tan 15^{\circ} \cdot \tan 45^{\circ} \tan 75^{\circ}$ is

Trigonometric Functions

Solution:

$\tan 15^{\circ}.\tan 45^{\circ} \tan 75^{\circ}=\tan 15^{\circ} . \tan \left(60^{\circ}-15^{\circ}\right) . \tan \left(60^{\circ}+15^{\circ}\right)$
$=\tan \left(3 \times 15^{\circ}\right)=\tan 45^{\circ}=1$