An angle whose measure is -405° is in standard position. In what quadrant does the terminal side of the angle fall? Quadrant 1 Quadrant II Quadrant III Quadrant IV

Question

asked Mar 22, 2022 85.1k views

1 Answer

Leo Goodstadt · Answer 1 · 2022-03-29T03:59:59+0000

Answer:

Quadrant IV

Explanation:

Given

$\theta = -405^\circ$

Required

The quadrant of the terminal side

To do this, we simply rotate the given angle in a clockwise direction.

A complete rotation is
$-360^\circ$

So, we have:

$\theta = -405^\circ$

$\theta = -360^\circ -45^\circ$

Remove the complete rotation

$\theta = -45^\circ$

When
$45^\circ$ is rotated in the clockwise direction, it stops at the 4th quadrant.

Hence, the terminal side falls in the quadrant IV