Angles and Cartesian Plane

Trigonometry is the linking between the sides of a triangle and its angles. The Greek words that build up this word are:

There are (a)   basic types of angles that can be plotted into the cartesian plane.

This angle-measuring scale operates on a base-60 scale.

(First letter uppercase and plural word, please)

(a)  

This angle-measuring scale was created by extracting the radius from a circle and putting it on top of the circumference as an arc.

(First letter uppercase and plural word, please)

(a)  

There is $$\pi\ radians$$ in half a circumference.

There are $$180\degree$$ degrees in $$\pi\ radians$$ .

There are 3,600 seconds in a degree.

Transform $$\frac{5\pi}{3}radians$$ into degrees.

(a)  

Transform $$-\frac{\pi}{4}radians$$ into degrees.

(a)  

Find the first positive coterminal angle for $$-720\degree$$ .

(a)