Question

An angle whose measure is -405° is in

Answer 1

Answer:

Quadrant IV

Step-by-step 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