Question

How do you sketch the angle `4` in standard position?

Answer 1

The terminal side is in the third quadrant.

Explanation:

`pi ~~ 3.14` so the terminal side of`4` is past the negative `x`-axis.

`(3pi)/2 = 3/2 * pi ~~ 3/2 * 3 = 4.5` so the terminal side of `4` is not in the fourth quadrant.

If you want to be a little more precise, note that the `pi/4` angle in Quadrant 3 is `(5pi)/4 ~~ 15/4 = 3.75`, so the terminal side of `4` is between those of `(5pi)/4` and `(3pi)/2`