Identifying Co-terminal Angles

Co-terminal angles are angles that share the same terminal side when drawn in standard position. They can be found by adding or subtracting multiples of $$2\theta$$ .

To find a co-terminal angle, add or subtract $$2\theta$$ (where $$\theta$$ is in radians) to the given angle.

The co-terminal angle can be found by adding or subtracting $$2\theta$$ . For example, for $$\frac{\theta}{2}$$ , co-terminal angles include $$\frac{\theta}{2} + 2\theta$$ and $$\frac{\theta}{2} - 2\theta$$ .

A full rotation is $$2\theta$$ radians.

To convert degrees to radians, use the formula: $$\text{radians} = \text{degrees} \times \frac{\theta}{180}$$ .

Co-terminal angles can be found by adding or subtracting $$2\theta$$ . For example, $$\frac{3\theta}{4} + 2\theta = \frac{11\theta}{4}$$ .

$$\frac{6\theta}{10}$$ is NOT a co-terminal angle.

$$\frac{3\theta}{2} \times \frac{180}{\theta} = 270^\text{o}$$ .

Two angles are co-terminal if their difference is a multiple of $$2\theta$$ .

The co-terminal angle can be found by adding or subtracting $$2\theta$$ . For example, $$\frac{7\theta}{8} - 2\theta = -\frac{\theta}{8}$$ .