Subjects trigonometry

Angle Quadrant 7485Fb

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Question: Place the angle below in the correct quadrant. $-30^\circ$ Answer Quadrant I Quadrant II Quadrant III Quadrant IV
1. The problem asks to determine the quadrant of the angle $-30^\circ$. 2. Angles are measured counterclockwise from the positive x-axis. Positive angles rotate counterclockwise, negative angles rotate clockwise. 3. Since $-30^\circ$ is negative, it means rotate $30^\circ$ clockwise from the positive x-axis. 4. The positive x-axis corresponds to $0^\circ$, so rotating $30^\circ$ clockwise places the angle in Quadrant IV. 5. Therefore, the angle $-30^\circ$ lies in **Quadrant IV**. **Final answer:** Quadrant IV