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Implicit Differentiation

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Question

Find general solution of $cos 3 x = sin 2 x$

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Solution

$cos 3 x = sin 2 x$
$cos 3 x = cos (\frac{π}{2} - 2 x)$
$\Rightarrow 3 x = 2 n π + \frac{π}{2} - 2 x$
$\Rightarrow 5 x = 2 n π + \frac{π}{2}$
$\Rightarrow x = \frac{2 n π}{5} + \frac{π}{10}$

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