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Relations And Functions

Question

Write the principal value of $\cos^{- 1} (\frac{1}{2}) - 2 \sin^{- 1} (- \frac{1}{2}) .$

Solution

$Principal value of \cos^{- 1} (\frac{1}{2}) = \frac{π}{3} Principal value of \sin^{- 1} (\frac{- 1}{2}) = \frac{- π}{6} Hence principal value of \cos^{- 1} (\frac{1}{2}) - 2 \sin^{- 1} (\frac{- 1}{2}) = \frac{π}{3} - 2 (\frac{- π}{6}) = \frac{2 π}{3} .$

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Relations And Functions

Write the principal value of $\cos^{- 1} (\frac{1}{2}) - 2 \sin^{- 1} (- \frac{1}{2}) .$

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Relations And Functions

Write the principal value of cos-1 12 - 2 sin-1 - 12 .

Some More Questions From Relations and Functions Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Write the principal value of $\cos^{- 1} (\frac{1}{2}) - 2 \sin^{- 1} (- \frac{1}{2}) .$