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Question: \(\cos \left[ \cos ^ { - 1 } \left( \frac { - 1 } { 7 } \right) + \sin ^ { - 1 } \left( \frac { - 1 ...

cos⁡[cos⁡−1(−17)+sin⁡−1(−17)]=\cos \left[ \cos ^ { - 1 } \left( \frac { - 1 } { 7 } \right) + \sin ^ { - 1 } \left( \frac { - 1 } { 7 } \right) \right] =

A

−1/3- 1 / 3

B

0

C

1/31 / 3

D

Answer

0

Explanation

Solution

cos⁡{cos⁡−1(−17)+sin⁡−1(−17)}=cos⁡π2=0\cos \left\{ \cos ^ { - 1 } \left( \frac { - 1 } { 7 } \right) + \sin ^ { - 1 } \left( \frac { - 1 } { 7 } \right) \right\} = \cos \frac { \pi } { 2 } = 0 .