Let , where and , then find the value of…

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Let

F_k(x) = \frac{1}{k}(\sin^k x + \cos^k x)

, where

x \in \mathbb{R}

and

k \ge 1

, then find the value of

F_4(x) - F_6(x)

.

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