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37 votes
37 votes
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

User Amalgamate
by
2.5k points

1 Answer

11 votes
11 votes

Answer:

Quadrant IV

Explanation:

Given


image

Required

The quadrant of the terminal side

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

A complete rotation is
image

So, we have:


image


image

Remove the complete rotation


image

When
image is rotated in the clockwise direction, it stops at the 4th quadrant.

Hence, the terminal side falls in the quadrant IV

User Sambler
by
3.2k points