Unit Circle Practice

Coterminal angles are angles that share the same terminal side when drawn in standard position. To find a coterminal angle, you can add or subtract multiples of 360° (or 2π radians).

To convert degrees to radians, multiply the degree measure by $$\frac{\text{π}}{180}$$ .

The value of cos(0°) is 1.

The value of sin(90°) is 1.

The value of tan(45°) is 1.

The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. For angles in the second quadrant, subtract from 180°; for the third quadrant, subtract from 180°; for the fourth quadrant, subtract from 360°.

$$\frac{7\text{π}}{4}$$ radians is equal to 315°.

The sine of $$\frac{7\text{π}}{4}$$ is - $$\frac{\text{√2}}{2}$$ .

The cosine of $$\frac{7\text{π}}{4}$$ is $$\frac{\text{√2}}{2}$$ .

To find a coterminal angle for 150°, you can subtract 360°: 150° - 360° = -210°.