Hard Problem: sin ((2*pi*x)/23), sin ((pi*x)/14) and sin ((2*pi*x)/33)

Urzurk

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Jun 14, 2017
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Hey all you smart math tutors!

I'm struggling with a problem in my assignment that requires me to graph three sine functions and find where all three of these sine functions are at their maximum y coordinate (1) at the same x coordinate.

The three sine functions are as following: sin ((2*pi*x)/23), sin ((pi*x)/14) and sin ((2*pi*x)/33)

I've tried to add these functions together into one larger function like: sin ((2*pi*x)/23) + sin ((pi*x)/14) + sin ((2*pi*x)/33) and use g-solve on my calculator the find the x-coordinate why y= 3 but the calculator said that that point did not exist! I have had some problems before but I really need an answer!

Thankyou O' generous tutors!

- Isaac
 
What are the individual Periods of your three sine functions?
 
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