# Find: tan^(-1)(-sqrt(3)/3)

Messiah Sutton 2022-11-20 Answered
Find:
${\mathrm{tan}}^{-1}\left(-\frac{\sqrt{3}}{3}\right)$
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Given data:
${\mathrm{tan}}^{-1}\left(-\frac{\sqrt{3}}{3}\right)$
Solution:
${\mathrm{tan}}^{-1}\left(-\frac{\sqrt{3}}{3}\right)={\mathrm{tan}}^{-1}\left(\frac{-1}{\sqrt{3}}\right)\phantom{\rule{0ex}{0ex}}=-{30}^{\circ }\phantom{\rule{0ex}{0ex}}{\mathrm{tan}}^{-1}\left(-\frac{\sqrt{3}}{3}\right)=-\frac{\pi }{6}$