Subjects trigonometry

Angle Negative 230 A36336

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Angle Negative 230 A36336


1. **Problem:** Draw the angle $-230^\circ$ and label its initial and terminal sides. 2. **Understanding angles:** Angles are measured from the positive x-axis (initial side) counterclockwise for positive angles and clockwise for negative angles. 3. **Find the equivalent positive angle:** Since $-230^\circ$ is negative, add $360^\circ$ to find its positive coterminal angle: $$-230^\circ + 360^\circ = 130^\circ$$ 4. **Draw the angle:** Start from the positive x-axis, rotate clockwise $230^\circ$ or equivalently counterclockwise $130^\circ$. 5. **Label sides:** The initial side is along the positive x-axis, the terminal side is at $130^\circ$ from the positive x-axis. 6. **Summary:** The angle $-230^\circ$ has the same terminal side as $130^\circ$. Final answer: The terminal side of $-230^\circ$ lies in the second quadrant at $130^\circ$ from the positive x-axis.