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Question: Value of \(\cos ^ { - 1 } \left( \cos \frac { 5 \pi } { 3 } \right) + \sin ^ { - 1 } \left( \sin \f...

Value of cos⁡−1(cos⁡5π3)+sin⁡−1(sin⁡5π3)\cos ^ { - 1 } \left( \cos \frac { 5 \pi } { 3 } \right) + \sin ^ { - 1 } \left( \sin \frac { 5 \pi } { 3 } \right) is

A

0

B

π2\frac { \pi } { 2 }

C

2π3\frac { 2 \pi } { 3 }

D

10π3\frac { 10 \pi } { 3 }

Answer

0

Explanation

Solution

cos⁡−1(cos⁡5π3)+sin⁡−1(sin⁡5π3)\cos ^ { - 1 } \left( \cos \frac { 5 \pi } { 3 } \right) + \sin ^ { - 1 } \left( \sin \frac { 5 \pi } { 3 } \right) =π3−π3=0= \frac { \pi } { 3 } - \frac { \pi } { 3 } = 0