If , then show that…

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

If

\frac{\sin^4 x}{2} + \frac{\cos^4 x}{3} = \frac{1}{5}

, then show that

\frac{\sin^8 x}{8} + \frac{\cos^8 x}{27} = \frac{1}{125}

.

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