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4 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

1 Answer

4 votes

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

User Leo Goodstadt
by
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