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^{-1} ( ( {7}{5})) is equal to

Question

$cos^{- 1} (cos (7 π 5))$ is equal to

\frac{3 π}{5}

\frac{2 π}{5}

\frac{- 7 π}{5}

\frac{7 π}{5}

\frac{- 2 π}{5}

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Emily Discussed

cos^{- 1} (cos (7 π 5))

is equal to

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Text solutionVerified

cos^{- 1} (cos \frac{7 π}{5}) =

cos^{- 1} (cos (π + \frac{2 π}{5})) =

cos^{- 1} (- cos \frac{2 π}{5}) =

cos^{- 1} (cos (π - \frac{2 π}{5})) =

cos^{- 1} (cos \frac{3 π}{5}) = \frac{3 π}{5}

Hence, A is the correct option.

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