Tangent value of 3Pi over4

1. Determine the reference angle for \( \frac{3\pi}{4} \):
\theta = \frac{3\pi}{4} - \pi = -\frac{\pi}{4}

2. Use the known value of the tangent function for the angle \( -\frac{\pi}{4} \):
\tan \left( -\frac{\pi}{4} \right) = -1

3. Conclude that:
\tan \left( \frac{3\pi}{4} \right) = -1

Answer: -1