## Precalculus (6th Edition)

RECALL: The quadrantal angles are (for clockwise movement from the positive x-axis): Positive x-axis: $0$ radians; Negative y-axis: $-\frac{3.14}{2} = -1.57$ radians; Negative x-axis: $-3.14$ radians; Positive y-axis: $-4.61$ radians Positive x-axis: $-6.28$ radians Thus, when moving clockwise from the positive x-axis, the angle $-6,29$ radians is right after the positive x-axis after one rotation. This means that the angle is in Quadrant IV. With $\tan{\theta}=\frac{y}{x}$, and since $x$ is positive and $y$ is negative in Quadrant IV, then $\tan{(-6.29)}$ must be negative.