Question

draw the terminal side of this angle. make sure to draw you ray to the end of the graph. 225°

Explanation:

Step1: Determine the quadrant

An angle of \(225^{\circ}\) is in the third quadrant. Since \(180^{\circ}<225^{\circ}<270^{\circ}\).

Step2: Find the reference angle

The reference angle \(\theta_{r}=225^{\circ} - 180^{\circ}=45^{\circ}\).

Step3: Draw the terminal side

The terminal side of a \(225^{\circ}\) angle makes a \(45^{\circ}\) angle with the negative \(x\) - axis. So, draw a ray from the origin that is in the third quadrant and makes a \(45^{\circ}\) angle with the negative \(x\) - axis (i.e., the line \(y = x\) in the third quadrant).

Answer:

Draw a ray in the third quadrant that makes a \(45^{\circ}\) angle with the negative \(x\) - axis (the ray along \(y = x\) in the third quadrant).