1.

If x = cosθ, then find the value of (x6 + 1/x6)

Answer»

∵ x = cosθ + isinθ

⇒ x6 = (cos θ + isinθ)6 = cos6θ + isin6θ

⇒ 1/x6  = cos6θ – isin6θ

∴ x6 + 1/x6 = 2cos6θ



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