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Solve the equation $$\frac{1}{4}\left ( \left | \sin x \right |^{n}+ \left | \cos x \right |^{n} \right )= \frac{\left | \sin x \right |^{m}+ \left | \cos x \right |^{m}}{\left | \sin 2x \right |^{k}+ 4\left | \cos 2x \right |^{k}}$$

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closed as off-topic by user99914, Matthew Conroy, Claude Leibovici, Arnaud Mortier, Parcly Taxel Feb 13 '18 at 10:43

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    $\begingroup$ why differential tag ? $\endgroup$ – Isham Feb 13 '18 at 3:30
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    $\begingroup$ Do you notice the trivial solution, $x=n\pi$? What have you tried to solve this problem? What are your thoughts? $\endgroup$ – Gaurang Tandon Feb 13 '18 at 3:39