1. The problem is to understand the four quadrants of the coordinate plane and how positive and negative degrees relate to them. 2. The coordinate plane is divided into four quadrants by the x-axis and y-axis: - Quadrant I: $0^\circ$ to $90^\circ$, both x and y are positive. - Quadrant II: $90^\circ$ to $180^\circ$, x is negative, y is positive. - Quadrant III: $180^\circ$ to $270^\circ$, both x and y are negative. - Quadrant IV: $270^\circ$ to $360^\circ$, x is positive, y is negative. 3. Positive angles are measured counterclockwise from the positive x-axis. 4. Negative angles are measured clockwise from the positive x-axis. 5. For example, a positive angle of $45^\circ$ lies in Quadrant I, while a negative angle of $-45^\circ$ lies in Quadrant IV. 6. This means: - Positive angles increase counterclockwise. - Negative angles increase clockwise. 7. Understanding this helps in trigonometry and coordinate geometry to determine the sign of sine, cosine, and tangent based on the quadrant. Final answer: The four quadrants correspond to ranges of degrees with positive angles measured counterclockwise and negative angles measured clockwise from the positive x-axis.