How does one graph this?

asked 10 years ago

Krishnan Arbuja gravatar image

updated 10 years ago

I am trying to parametrize x2+y2+sin(4x)+sin(4y)=4.

I need to find a way of taking the intersections between x2+y2+sin(4x)+sin(4y)=4, and tan(nx). As n increases from 0n2π, I can take the following in coordinate-form....

(n,The x-intersection value) (n,The y-intersection value)

Finally I need to take the following to graph its parametric derivative. Which is...

(The x-intersection value)2+4cos(4(The x-intersection value))(The y-intersection value)24cos(4(The y-intersection))

I have little knowledge with how to use sage. If someone can help I'll be thankful.

Preview: (hide)

Comments

1

You can try plotting separately and then combine

p1 = implicit_plot(x^2+y^2+sin(4*x)+sin(4*y)==4,(x,-3,3),(y,-3,3), color='red')
p2 = plot(tan(x), (x,-3,3), ymin=-3, ymax=3, color='blue')
p1+p2
SL gravatar imageSL ( 10 years ago )