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What is the value of {}^{-1}( 160^o)?

Question

What is the value of $sin^{- 1} (sin 16 0^{o})$ ?

16 0^{0}

7 0^{0}

- 2 0^{0}

2 0^{0}

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sin^{- 1} (sin 16 0^{o})

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Text solutionVerified

s in

of an angle is positive in first and second quadrants.

\Rightarrow sin^{- 1} (sin 160^{0})

\Rightarrow sin^{- 1} (sin (180 - 20)^{0})

\Rightarrow sin^{- 1} (sin 20^{0}) = 20^{0}

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