Question 24
For how many values of $x$ in $[0, \pi]$ is $\sin^{-1}(\sin 6x) = \cos^{-1}(\cos x)?$
Note: The functions $\sin^{-1} = \arcsin$ and $\cos^{-1} = \arccos$ denote inverse trigonometric functions.
Note: The functions $\sin^{-1} = \arcsin$ and $\cos^{-1} = \arccos$ denote inverse trigonometric functions.