Question

i) If x = 15°, verify that 4 sin 2x cos 4x sin 6x = 1.
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Answer 1

Given:

x=15°

To verify:

4 sin 2x cox 4x sin 6x = 1.

Substituting the given value of x in L.H.S we get --

L.H.S

4 sin 2(15) cos 4(15) sin 6(15)

= 4 sin 30° cos 60° sin90°

  $= 4*\frac{1}{2} * \frac{1}{2} * 1\\\\\\ =4*\frac{1}{4} * 1\\ =1$

In the RHS we have 1,

Since the LHS = RHS

The given equation is verified

Thank you