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

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Find the principal value of the following:

tan^{- 1} (- 1)

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Text solutionVerified

Range of

tan^{- 1}

(\frac{- π}{2}, \frac{π}{2}) .

∴ tan^{- 1} (- 1) = θ

\Rightarrow tan θ = - 1 = - tan \frac{π}{4}

\Rightarrow tan θ = tan (\frac{- π}{4})

\Rightarrow θ = \frac{- π}{4}

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Question Text	Find the principal value of the following: $tan^{- 1} (- 1)$
Answer Type	Text solution:1
Upvotes	150