How do you find the exact value of ${cos}^{- 1} (cos (\frac{5 π}{3}))$ $cos^-1(cos((5pi)/3))$ ?

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How do you find the exact value of ${cos}^{- 1} (cos (\frac{5 π}{3}))$ $cos^-1(cos((5pi)/3))$ ?

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Answer 1 · 2016-04-11T15:50:37

$300^{o}$ $300^o$

Explanation:

${cos}^{- 1} cos x$ $cos^(-1) cos x$ equals x, hence the given expression equals $\frac{5 π}{3} = 5 (\frac{180}{3} d e g r e e s) = 300^{o}$ $(5pi)/3= 5 (180/3 degrees)= 300^o$
( $π$ $pi$ radians equal $180^{o}$ $180^o$ )

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How do you find the exact value of ${cos}^{- 1} (cos (\frac{5 π}{3}))$ $cos^-1(cos((5pi)/3))$ ?

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How do you find the exact value of ${cos}^{- 1} (cos (\frac{5 π}{3}))$ $cos^-1(cos((5pi)/3))$ ?