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Transpose of a Matrix

The value of ...

Question

The value of ${cos}^{- 1} (cos \frac{5 π}{3}) + {sin}^{- 1} (cos \frac{5 π}{3})$ is

A

\frac{π}{2}

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B

\begin{matrix} \frac{5 π}{3} \end{matrix}

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C

\begin{matrix} \frac{10 π}{3} \end{matrix}

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D

\begin{matrix} 0 \end{matrix}

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Solution

The correct option is A $\frac{π}{2}$
${cos}^{- 1} [cos \frac{5 π}{3}] + {sin}^{- 1} [\frac{cos 5 π}{3}] = \frac{π}{2} (∵ {sin}^{- 1} x + {cos}^{- 1} x = \frac{π}{2})$

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Transpose of a Matrix

Standard XII Mathematics

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