Compute the smallest positive angle $x,$ in degrees, such that
\[\tan 4x = \frac{\cos x - \sin x}{\cos x + \sin x}.\]
Question:
Compute the smallest positive angle $x,$ in degrees, such that
\[\tan 4x = \frac{\cos x - \sin x}{\cos x + \sin x}.\]
Answer:
Let's think step by step.

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9^\circ
Compute the smallest positive angle $x,$ in degrees, such that
\[\tan 4x = \frac{\cos x - \sin x}{\cos x + \sin x}.\]
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