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Write the Value of Cos − 1 ( Cos 14 π 3 ) - Mathematics

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Question

Write the value of \[\cos^{- 1} \left( \cos\frac{14\pi}{3} \right)\]

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Solution

\[\cos^{- 1} \left( \cos\frac{14\pi}{3} \right) = \cos^{- 1} \left[ \cos\left( 4\pi + \frac{2\pi}{3} \right) \right]\]
\[ = \cos^{- 1} \left( \cos\frac{2\pi}{3} \right)\]
\[ = \frac{2\pi}{3}\]

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.15 [Page 118]

APPEARS IN

RD Sharma Mathematics [English] Class 12
Chapter 4 Inverse Trigonometric Functions
Exercise 4.15 | Q 48 | Page 118

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