A calculus problem by Sarthak Srivastava

Calculus Level 2

Solve for real xx cos(cos(cos(cosx)))=sin(sin(sin(sinx))).\cos\left(\cos\left(\cos\left(\cos x\right)\right)\right)=\sin\left(\sin\left(\sin\left(\sin x\right)\right)\right).

Image credit: Wikipedia Dirk Hünniger
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