Evaluate. tan^(-1)(tan(3pi)/4)

Israel Hale 2022-07-27 Answered
Evaluate . ${\mathrm{tan}}^{-1}\left(\mathrm{tan}\frac{3\pi }{4}\right)$
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Minbutastc
${\mathrm{tan}}^{-1}﻿\left(\mathrm{tan}\frac{3\pi }{4}\right)={\mathrm{tan}}^{-1}\left(-1\right)\left(since\mathrm{tan}\frac{3\pi }{4}=-1\right)$
$={135}^{\circ }=\frac{3\pi }{4}$
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prkosnognm
rememeber $f\left({f}^{-1}\left(x\right)\right)=x$
or $f\left({f}^{-1}\left(x\right)\right)={f}^{-1}\left(f\left(x\right)\right)=x⇒=\frac{3\pi }{4}$