Find the principle value of tan -1-3-

The correct option is D π /3 Principle vaue of tan^ 1( √(3)) =tan^ 1(tan( π3)) = π3 ...

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Standard XII

Mathematics

Local Maxima

Find the prin...

Question

Find the principle value of ${tan}^{- 1} (- \sqrt{3}) .$

π / 3

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- π / 3

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π / 6

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- π / 6

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Solution

The correct option is D $- π / 3$
Principle vaue of ${tan}^{- 1} (- \sqrt{3})$
$= {tan}^{- 1} (tan (\frac{- π}{3}))$
$= \frac{- π}{3}$

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Find the principle value of tan−1(−√3).

The correct option is D −π/3Principle vaue of tan−1(−√3)=tan−1(tan(−π3))=−π3

Find the principle value of ${tan}^{- 1} (- \sqrt{3}) .$

The correct option is D $- π / 3$
Principle vaue of ${tan}^{- 1} (- \sqrt{3})$
$= {tan}^{- 1} (tan (\frac{- π}{3}))$
$= \frac{- π}{3}$