Question

32sin^6(15)-48sin^4(15) +18sin^2(15)
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Answer 1

Answer:

Using sin3θ =3sinθ − 4sin³ θ we have

sin 45° = 3 sin 15° − 4 sin³ 15° = 1/√2.

Now squaring both sides we have,

9 sin² 15° + 16 sin⁶ 15° −24 sin⁴ 15° = 1/2

Hence 1 is the answer.

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