The principal value of sin−1{cos(sin−123)} is

The principle value of sin−1(cos(sin−1(23)))=2π−cos−1(cos(sin−1(23)))=2π−sin−1(23)=cos−1(23)=6π

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The principal value of : ^{-1} { ( ^{-1}{{3}}{2} ) } is

Question

The principal value of $sin^{- 1} {cos (sin^{- 1} \frac{3}{2})}$ is

\frac{π}{6}

\frac{π}{3}

- \frac{π}{3}

none of these

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The principal value of

sin^{- 1} {cos (sin^{- 1} \frac{3}{2})}

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The principle value of

sin^{- 1} (cos (sin^{- 1} (\frac{3}{2})))

= \frac{π}{2} - cos^{- 1} (cos (sin^{- 1} (\frac{3}{2})))

= \frac{π}{2} - sin^{- 1} (\frac{3}{2})

= cos^{- 1} (\frac{3}{2})

= \frac{π}{6}

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Question Text	The principal value of $sin^{- 1} {cos (sin^{- 1} \frac{3}{2})}$ is
Answer Type	Text solution:1
Upvotes	150