Intersect of three sinusoidal functions

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Coordinator
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hi, is it possible to find the intersect of three different sinusoidal functions without using a graphing calculator?

here are the three equations:

y=sin (2pi/23)(x)
y=sin (pi/14)(x)
y=sin (2pi/33)(x)

The hint given is that the intersect occurs when y=1
 
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