3. Unit Circle

Find a polar equation for the curve represented by the given Cartesian equation $x^2+y^2=2$.

Identify the quadrant that the given angle is located in.

$\(\frac{2\pi}{3}\)$ radians

Identify the quadrant that the given angle is located in.

$\(\frac{\pi}{7}\)$ radians

On the unit circle, what is the length of the radius?

Test whether the point is on the unit circle by plugging it into the equation, $x^2+y^2=1$.

$\(\left\)(\(\frac{-\sqrt2}{2}\),\(\frac{-\sqrt2}{2}\]\right\))$

Identify the quadrant that the given angle is located in.

$\(\frac{6\pi}{5}\)$ radians

Identify the quadrant that the given angle is located in.

$\(\frac{7\pi}{4}\)$ radians