Come up with a set of equations to draw the following picture:
The Attempt at a Solution
The circle is easy.
1000 = sqrt(x^2+y^2)
I can just model the equation with sines. So
y_1 = 300 * Sin(pi * x / 1000) (Assuming 300 is the highest point in the curve)
The sine graph on the y axis can be easily tilted by switching x and y. Therefore:
x = 300 * Sin(pi*y_2 / 1000)
sin^-1 (x/300) = pi * y_2 / 1000
y_2 = (1000/pi) * sin^-1(x/300)
Is my y_2 correct?
And I'm kinda stumbling on how to translate the axis in 45 degree angle to draw the sine graph like that. Any help would be appreciated.
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