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Evaluate the following: ^{-1} ( 3)

Question

Evaluate the following:
$sin^{- 1} (sin 3)$

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Evaluate the following:

sin^{- 1} (sin 3)

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Text solutionVerified

We know,

\Rightarrow

sin^{- 1} (sin θ) = θ,

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

We have,

\Rightarrow

sin^{- 1} (sin 3) = sin^{- 1} {sin (π - 3)}

= π - 3

∴

sin^{- 1} (sin 3) = π - 3

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Question Text	Evaluate the following: $sin^{- 1} (sin 3)$
Answer Type	Text solution:1
Upvotes	150