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Sum of Trigonometric Ratios in Terms of Their Product

Solve sin 5...

Question

Solve $sin 5 x = cos 2 x$ .

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Solution

$sin 5 x = cos 2 x$

$sin 5 x = sin (90 - 2 x)$

$5 x = 90 - 2 x$

$5 x + 2 x = 90$

$7 x = 90$

$∴ x = \frac{90}{7}$

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