draw the angle in standard position: - 3pi/4

To draw the angle \(-\frac{3\pi}{4}\) in standard position:

1. **Standard position**: The initial side of the angle lies along the positive \(x\)-axis, and the terminal side is determined by rotating counterclockwise (for positive angles) or clockwise (for negative angles).

2. **\(-\frac{3\pi}{4}\) radians**: This angle is negative, so we rotate **clockwise** from the positive \(x\)-axis. In radians, \(\pi\) represents a half-circle (180°). 

   - \(-\frac{3\pi}{4}\) is \(-135^\circ\), or three-quarters of the way to \(-\pi\) (which is \(-180^\circ\)).
   
3. **Position of the angle**: Start from the positive \(x\)-axis and rotate clockwise by 135°. The terminal side of the angle will lie in **Quadrant III**, as you have passed 90° (which lands in Quadrant IV) but stopped before reaching 180° (which lands on the negative \(x\)-axis).

The terminal side should end between the negative \(x\)-axis and the negative \(y\)-axis.

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Learn how to draw the angle -3π/4 in standard position. This problem covers key trigonometric concepts such as radians, angle measurement, and quadrant positioning, suitable for high school students in Grades 10-12.

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