Intersect of three sinusoidal functions

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SUMMARY

The discussion focuses on finding the intersection of three sinusoidal functions: y=sin(2π/23)x, y=sin(π/14)x, and y=sin(2π/33)x. The key insight is that the intersection occurs when y=1, which is achieved when sin(x) equals 1. The specific values of x that satisfy this condition are x = (2n+1)π/2, where n is an integer. Thus, the intersections can be determined by solving for x in each equation under the condition that y=1.

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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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What is x when sin(x) = 1?
 

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