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Question
Write the value of cos−1 (cos 6).
Solution
We know that
\[\cos^{- 1} \left( \cos{x} \right) = x\]
Now,
\[\cos^{- 1} \left( \cos6 \right) = \cos^{- 1} \left\{ \cos\left( 2\pi - 6 \right) \right\}\]
\[ = 2\pi - 6\]
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