Number of real solutions for sin(sin(sin x)) = cos(cos(cos x)) on [0, 2π]

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juantheron
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Number of real solution of the equation $\sin (\sin (\sin x)) = \cos (\cos (\cos x))$

where $ 0 \leq x\leq 2\pi$
 
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jacks said:
Number of real solution <--- 2
of the equation $\sin (\sin (\sin x)) = \cos (\cos (\cos x))$

where $ 0 \leq x\leq 2\pi$

...