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Evaluat the following: ^{-1} ( 4)

Question

Evaluat the following:
$sin^{- 1} (sin 4)$

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Evaluat the following:

sin^{- 1} (sin 4)

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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 4) = sin^{- 1} {sin (π - 4)}

= π - 4

∴

sin^{- 1} (sin 4) = π - 4

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Question Text	Evaluat the following: $sin^{- 1} (sin 4)$
Answer Type	Text solution:1
Upvotes	150