Answer
a.$(3,0)$
b. $3$
c. $0^{\circ}$
Work Step by Step
a.
The terminal side of $360^{\circ}$ in standard position is on the positive $x$ axis. The terminal side is represented by the blue line in the figure.
The coordinates of points on the terminal side of $360^{\circ}$ can be given by $(a,0)$, where $a$ is a positive number.
Choosing $a=3$ arbitrarily, the point is $(3,0)$.
b.
To find the distance from the origin to $(3,0)$, we use the distance formula
$$r=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\r=\sqrt{(3-0)^2+(0-0)^2}=\sqrt{9}=3$$
$$\therefore r = 3$$
c.
To find an angle that is coterminal with $360^{\circ}$, we traverse a full revolution in the positive or negative direction.
Coterminal angle = $360^{\circ}-360^{\circ}= 0^{\circ}$
