The principal value of cos−1{−sin67π}

cos−1(−sin(π+6π)) =cos−1(sin(6π))=cos−1(sin(2π−3π)) =cos−1(cos(3π))=3π

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The principal value of : ^{-1} { - {7 }{6} }

Question

The principal value of $cos^{- 1} {- sin \frac{7 π}{6}}$

\frac{5 π}{3}

\frac{7 π}{3}

\frac{π}{3}

none of these

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The principal value of

cos^{- 1} {- sin \frac{7 π}{6}}

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co s^{- 1} (- sin (π + \frac{π}{6}))

= cos^{- 1} (sin (\frac{π}{6}))

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

= cos^{- 1} (cos (\frac{π}{3}))

= \frac{π}{3}

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Question Text	The principal value of $cos^{- 1} {- sin \frac{7 π}{6}}$
Answer Type	Text solution:1
Upvotes	150