Question 19
How many solutions does the equation $$
\sin\left(\frac{\pi}{2}\cos x\right) = \cos\left(\frac{\pi}{2}\sin x\right)
$$ have in the closed interval $[0, \pi]?$
\sin\left(\frac{\pi}{2}\cos x\right) = \cos\left(\frac{\pi}{2}\sin x\right)
$$ have in the closed interval $[0, \pi]?$