In a previous lesson you plotted a parabola. Plotting something
like $y=x^2$ might seem pretty easy. But what if you wanted to draw a parabola that was rotated by say $15^\circ$?
How would you do that?

It turns out that if you want to rotate an $(x,y)$ point through an angle of $\theta$, you can use these equations to compute a new $(x,y)$ pair, that is*rotated* through and angle $\theta$:

$xp = x \cos\theta - y \sin\theta$

$yp = x \sin\theta + y \cos\theta$

In this notation, if $x$ and $y$ are your unrotated (or "normal") points, then $xp$ and $yp$ will be where the point would be, if rotated through $\theta$ degrees.

It turns out that if you want to rotate an $(x,y)$ point through an angle of $\theta$, you can use these equations to compute a new $(x,y)$ pair, that is

$xp = x \cos\theta - y \sin\theta$

$yp = x \sin\theta + y \cos\theta$

In this notation, if $x$ and $y$ are your unrotated (or "normal") points, then $xp$ and $yp$ will be where the point would be, if rotated through $\theta$ degrees.

Type your code here:

See your results here:

You can use

`dcos(..)`

and `dsin(..)`

for sin and cos functions that use degrees, or `math.cos(..)`

and `math.sin(..)`

for functions that use radians.
When done rotating a parabola, trying rotating a sine-wave, or a line, a $x^4$ polynomial, or any other math function you want!