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

Question

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

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Evaluate the following:

sin^{- 1} (sin 2)

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Text solutionVerified

We know,

\Rightarrow

sin^{- 1} (sin θ) = θ,

(- \frac{π}{2} \leq θ \leq \frac{π}{2})

We know,

\Rightarrow

sin^{- 1} (sin 2) = sin^{- 1} {sin (π - 2)}

= π - 2

∴

sin^{- 1} (sin 2) = π - 2

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