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Question

If $x =$ $15^{\circ}$ , evaluate : $4 cos 2 x \cdot sin 4 x \cdot tan 3 x - 1$

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Solution

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Given, $x = 15^{\circ}$
Now,
$4 cos 2 x sin 4 x tan 3 x - 1$

$= 4 (cos 30) (sin 60) (tan 45) - 1$

$= 4 \cdot \frac{\sqrt{3}}{2} \cdot \frac{\sqrt{3}}{2} \cdot 1 - 1$

$= 3 - 1$ $= 2$

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