Answer:
Quadrant IV
Step-by-step explanation:
Given
[tex]\theta = -405^\circ[/tex]
Required
The quadrant of the terminal side
To do this, we simply rotate the given angle in a clockwise direction.
A complete rotation is [tex]-360^\circ[/tex]
So, we have:
[tex]\theta = -405^\circ[/tex]
[tex]\theta = -360^\circ -45^\circ[/tex]
Remove the complete rotation
[tex]\theta = -45^\circ[/tex]
When [tex]45^\circ[/tex] is rotated in the clockwise direction, it stops at the 4th quadrant.
Hence, the terminal side falls in the quadrant IV
