The value of cos − 1 ( cos 5 π 3 ) + sin − 1 ( sin 5 π 3 ) is Options: A . &nbsp 0 B . &nbsp π 2 C . &nbsp 2 π 3 D . &nbsp 10 π 3

Answer: Option A : A cos − 1 ( cos 5 π 3 ) + sin − 1 ( sin 5 π 3 ) = cos − 1 [ cos ( 2 π − π 3 ) ] + sin − 1 [ sin ( 2 π − π 3 ) ] = π 3 − π 3 = 0.

The value of cos−1(cos 5π3)+sin−1(sin 5π3)

Question -

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

Options:

A .

0

B .

\frac{π}{2}

C .

\frac{2 π}{3}

D .

\frac{10 π}{3}

Answer: Option A
:
A

{cos}^{- 1} (cos \frac{5 π}{3}) + {sin}^{- 1} (sin \frac{5 π}{3}) = {cos}^{- 1} [cos (2 π - \frac{π}{3})] + {sin}^{- 1} [sin (2 π - \frac{π}{3})] = \frac{π}{3} - \frac{π}{3} = 0.

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