Question

How to sketch an angle in standard position

Answer 1

Get the number of rotations of the given angle by dividing 360 degrees with respect to positive x-axis.

Explanation:

1. First draw a horizontal line (along x-axis).

2. Locate the terminal side of the angle by dividing 360 degrees. Recall that one full rotation is equal to 360 degrees. So, to sketch 360 degrees, we will divide it by 360 degrees resulting in 1.

3. Similarly to draw 180 degrees, divide 180 by 360. This will result in 1/2. Therefore, it is half the way from x-axis.

Answer 2

Drawing an angle in standard position always starts the same way, draw the initial side along the positive x-axis. To place the terminal side of the angle, you must calculate the fraction of a full rotation the angle represents.