Write the principal values of the following: sin−1(−21)+cos−1(−21)

sin−1(2−1)+cos−1(2−1)=−sin−1(21)+π−cos−1(21)=−(6π)+π−(3π)=π−(2π)=(2π)

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Write the principal values of the following: sin^{-1}(-{1}{2})

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Write the principal values of the following: $s i n^{- 1} (- \frac{1}{2}) + co s^{- 1} (- \frac{1}{2})$

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Write the principal values of the following:

s i n^{- 1} (- \frac{1}{2}) + co s^{- 1} (- \frac{1}{2})

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$s i n^{- 1} (\frac{- 1}{2}) + co s^{- 1} (\frac{- 1}{2}) = - s i n^{- 1} (\frac{1}{2}) + π - co s^{- 1} (\frac{1}{2}) = - (\frac{π}{6}) + π - (\frac{π}{3}) = π - (\frac{π}{2}) = (\frac{π}{2})$

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Question Text	Write the principal values of the following: $s i n^{- 1} (- \frac{1}{2}) + co s^{- 1} (- \frac{1}{2})$
Answer Type	Text solution:1
Upvotes	150

Write the principal values of the following: sin−1(−21​)+cos−1(−21​)

Text solutionVerified

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Write the principal values of the following: $s i n^{- 1} (- \frac{1}{2}) + co s^{- 1} (- \frac{1}{2})$