For how many values of x in [0, \pi] is \sin ^{-1}(\sin 6 x)=\cos ^{-1}(\cos x) ?
Note: The functions \sin ^{-1}=\arcsin and \cos ^{-1}=\arccos denote inverse trigonometric functions.
Answer Choices
A. 3
B. 4
C. 5
D. 6
E. 7
For how many values of x in [0, \pi] is \sin ^{-1}(\sin 6 x)=\cos ^{-1}(\cos x) ?
Note: The functions \sin ^{-1}=\arcsin and \cos ^{-1}=\arccos denote inverse trigonometric functions.
Answer Choices
A. 3
B. 4
C. 5
D. 6
E. 7