Intersect of three sinusoidal functions

[Coordinator]

Main Question or Discussion Point

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

 

[Vid]

What is x when sin(x) = 1?