Question

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Answer 1

`(\pi)/(4)`

Explanation:

`\sf let \: y = { \tan }^( - 1) ( \tan (3\pi)/(4) ) \\ \\ \sf \hookrightarrow \tan y = \tan (3\pi)/(4) \\ \\ \sf \hookrightarrow \tan y = \tan(\pi - (\pi)/(4) ) \\ \\ \sf \hookrightarrow \tan y = \tan( - (\pi)/(4) ) \\ \\ \sf \hookrightarrow \tan y = - \tan (\pi)/(4) \\ \\ \boxed {\hookrightarrow{ \bold{y = - (\pi)/(4) } } }`