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Geometry Level pending

sin ( sin ( sin ( sin ( sin x ) ) ) ) = sin ( x ) \sin(\sin(\sin(\sin\cdots (\sin x) \cdots ))) = \sin(x)

Find x x that satisfies the equation above.

Note : There are infinitely many sines in LHS.


The answer is 0.

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1 solution

Isaac Newton
Jul 7, 2016

sin 0 = 0

sin 0 = sin (sin 0)

but 0 and 0phi have different meaning

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