Sin⁶ + cos⁶ is equal to
Sin⁶ + cos⁶ is equal to

Sin⁶ + cos⁶ is equal to?

(a)          1 – 3sin² cos² θ

(b)          1 – 3sin cos θ

(c)           1+3sin² cos² θ

(d)          1

Sol:

Let a = sin² θ

b = cos² θ.

a³ + b³ = (a + b)³ – 3ab(a + b)

sin6 θ+sin6 θ=1-3 sin2 θ cos 2 θ
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