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Exercise

$4\cos\:\left(x\right)+4sin\left(x\right)=\frac{1}{cos\left(x\right)-sin\left(x\right)}$

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Final answer to the exercise

$\sin\left(x\right)=\sqrt{\frac{3}{8}},\:\sin\left(x\right)=-\sqrt{\frac{3}{8}}\:,\:\:n\in\Z$

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