To find the reference angle for the angle \( \frac{3\pi}{4} \), you first need to determine which quadrant the angle is in.
The angle \( \frac{3\pi}{4} \) is in the second quadrant because:
- \( \pi \) (or \( \frac{4\pi}{4} \)) is the straight angle, and
- \( \frac{3\pi}{4} \) is greater than \( \frac{\pi}{2} \) (or \( \frac{2\pi}{4} \)) but less than \( \pi \).
The reference angle is calculated using the formula:
- Reference Angle = \( \pi - \theta \) (for angles in the second quadrant).
So, for \( \theta = \frac{3\pi}{4} \): \[ \text{Reference Angle} = \pi - \frac{3\pi}{4} = \frac{4\pi}{4} - \frac{3\pi}{4} = \frac{\pi}{4}. \]
Thus, the reference angle for \( \frac{3\pi}{4} \) is \( \frac{\pi}{4} \).
The correct response is: Start Fraction pi over 4 End Fraction
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