Algebra-2

To determine the quadrant of an angle, we need to consider the sign of both the x and y coordinates. Here's a breakdown of each quadrant and the corresponding angle ranges:

Quadrant I: In this quadrant, both the x and y coordinates are positive. The angle ranges from 0° to 90°.
Quadrant II: In this quadrant, the x coordinate is negative, and the y coordinate is positive. The angle ranges from 90° to 180°.
Quadrant III: In this quadrant, both the x and y coordinates are negative. The angle ranges from 180° to 270°.
Quadrant IV: In this quadrant, the x coordinate is positive, and the y coordinate is negative. The angle ranges from 270° to 360° (or 0° to -90°).

-405° can be thought of as rotating 405° clockwise from the positive x-axis because the angle is negative.

To determine the equivalent angle within one revolution, we add 360° to -405°, resulting in -405° + 360° = -45°.

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