The value of cos−1(cos35π)+sin−1(sin35π) is

cos−1(cos35π)+sin−1(sin35π)=cos−1(cos(2π−3π))+sin−1(sin(2π−3π))=cos−1(cos3π)+sin−1(−sin(3π))=cos−1(21)+sin−1(2−3)=3π−3π=0

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The value of ^{-1}( {5}{3})+^{-1}( {5}{3}) is

Question

The value of $cos^{- 1} (cos \frac{5 π}{3}) + sin^{- 1} (sin \frac{5 π}{3})$ is

\frac{π}{2}

\frac{5 π}{2}

\frac{10 π}{2}

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cos^{- 1} (cos \frac{5 π}{3}) + sin^{- 1} (sin \frac{5 π}{3})

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

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

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

= \frac{π}{3} - \frac{π}{3} = 0

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Question Text	The value of $cos^{- 1} (cos \frac{5 π}{3}) + sin^{- 1} (sin \frac{5 π}{3})$ is
Answer Type	Text solution:1
Upvotes	150