Question:
Write the general solutions of tan2 2x = 1.
Solution:
Given:
$\tan ^{2} 2 x=1$
$\Rightarrow \tan 2 x=\tan \frac{\pi}{4}$
$\Rightarrow 2 x=n \pi+\frac{\pi}{4}$
$\Rightarrow x=\frac{n \pi}{2}+\frac{\pi}{8}, n \in Z$
Hence, the general solution of the equation is $\frac{n \pi}{2}+\frac{\pi}{8}, n \in Z$.
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