homework – Polar Coordinates – Mathematica Stack Exchange

Asked to define the function on the range of $$x$$ values between $$-10$$ and $$10$$. Then produce two plots of the function for $$x$$ values between $$-10$$ and $$10$$ under the following assumptions:

a) Plot the function $$y=f(x)$$ where $$(x,y)$$ are standard Cartesian coordinates.

b) Plot the function $$r=f(theta)$$ where $$(r,theta)$$ are polar coordinates.

These are the functions:

1. $$f(x)=sin(3x)+1$$
2. $$f(x)=sin(7x)-3$$
3. $$f(x)=3(cos x)^2-3(sin x)^3+3$$
4. $$f(x)=x$$. Plot this function for $$x$$ between $$-50$$ and $$50$$