Find the principal value of each of the following :\(\tan^{-1}(-1)\) – InterviewSolution

1.

Find the principal value of each of the following :\(\tan^{-1}(-1)\)

Answer»

tan(-1)= -tan(1) [ Formula: tan ^-1(-x)= -tan^-1 (x) ]

[ We know that \(\tan\frac{\pi}{4}=1\), thus \(\tan^{-1}\frac{\pi}{4}=1\) ]

\(=-\frac{\pi}{4}\)

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