# How do you draw 300^circ in standard position and find one positive and one negative angle that is coterminal to the given angle?

May 5, 2018

Coterminal Angles:
${660}^{o}$ and $- {60}^{o}$

#### Explanation:

Coterminal angles are two angles that are drawn in the standard position (so their initial sides are on the positive x-axis ) and have the same terminal side

Coterminal angles are two angles in the standard position where one angle is a multiple of 360 degrees larger or smaller than the other. That is, if angle A has a measure of M degrees, then angle B is co-terminal if it measures M +/- 360n, where n=0,1,2,3, ...

Starting from that position, ${300}^{o}$ is drawn by moving around the circle to the left "counter-clockwise" and ending at the ${300}^{o}$ measure.

The negative coterminal angle is the angle that would end in the same place if we went to the right instead of right on the circle. It is equal to the original ${300}^{o}$ minus ${360}^{o}$.

Coterminal angles ${A}_{c}$ to angle $A$ may be obtained by adding or subtracting $k \cdot {360}^{o}$ or $k \times \left(2 \pi\right)$. Hence

${A}_{c} = A + k \cdot {360}^{o}$ if A is given in degrees.

or
${A}_{c} = A + k \cdot \left(2 \pi\right)$ if A is given in radians.

where k is any negative or positive integer.
http://www.analyzemath.com/Angle/coterminal_angle.html