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Evaluate the following: ^{-1} ( 2)

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Evaluate the following:
$tan^{- 1} (tan 2)$

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Evaluate the following:

tan^{- 1} (tan 2)

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Text solutionVerified

We know that,

tan^{- 1} (tan θ) = θ,

[- \frac{π}{2} < θ < \frac{π}{2}]

We have.

\Rightarrow

tan^{- 1} (tan 2) = tan^{- 1} [tan (- π + 2)]

= - π + 2

= 2 - π

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Question Text	Evaluate the following: $tan^{- 1} (tan 2)$
Answer Type	Text solution:1
Upvotes	150