Question

Find the exact value of \( \tan ^{-1}\left(\tan \left(-\frac{3 \pi}{7}\right)\right) \). Write your answer in radians in terms of \( \pi \). If necessary, click on "Undefined." \( \square \)

          Find the exact value of \( \tan ^{-1}\left(\tan \left(-\frac{3 \pi}{7}\right)\right) \).
Write your answer in radians in terms of \( \pi \). If necessary, click on "Undefined." \( \square \)

Find the exact value of tan ^-1(tan(-(3 π)/(7))).
Write your answer in radians in terms of π. If necessary, click on "Undefined." □

Added by Iker A.

NCERT Class 12 Part 1 - Math

Pawan K. Jain 2005 Edition

Chapter 2

Instant Answer

Solved by Expert Matthew Wagner

05/13/2023

Step 1

Step 1: Recall the principal value range of the inverse tangent function, \(\tan^{-1}(x)\), which is \(-\frac{\pi}{2} < y < \frac{\pi}{2}\). Show more…

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Find the exact value of \( \tan ^{-1}\left(\tan \left(-\frac{3 \pi}{7}\right)\right) \). Write your answer in radians in terms of \( \pi \). If necessary, click on "Undefined." \( \square \)