I have been thinking about since morning, but didn't seen to find a way to even start to solve this:
Get the cartesian equation for the curve r=2*cos a , and make the graph of this curve
Can anyone help me? Thank you! (:
I have been thinking about since morning, but didn't seen to find a way to even start to solve this:
Get the cartesian equation for the curve r=2*cos a , and make the graph of this curve
Can anyone help me? Thank you! (:
assuming you mean ...
$\displaystyle r = 2\cos{\theta}$ (instead of "a")
note that $\displaystyle x = r\cos{\theta}$ is one of your basic conversion equations.
rearranging ... $\displaystyle \frac{x}{r} = \cos{\theta}$
substitute $\displaystyle \frac{x}{r}$ for $\displaystyle \cos{\theta}$ in your original equation ...
$\displaystyle r = 2 \cdot \frac{x}{r}$
$\displaystyle r^2 = 2x$
also note that $\displaystyle r^2 = x^2+y^2$ ...
$\displaystyle x^2 + y^2 = 2x$
... and this would be the equation of what conic section?
Moderator edit: Excellent reply restored. Post #3 deleted.