Find the value of 8 sin2x cos 4x sin 6x, when x = 15°.

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Solution

The correct option is B 2
Given that,
The value of x is $15^{\circ}$ .

Now, putting the value of x
in 8 sin 2x cos 4x sin 6x.

$= 8 sin 2 (15^{\circ}) \times cos 4 (15^{\circ}) \times sin (6 \times 15^{\circ})$

$= 8 sin 30^{\circ} \times cos 60^{\circ} \times sin 90^{\circ}$

$= 8 \times 1 / 2 \times 1 / 2 \times 1$

$= 2$

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