Question

draw the terminal side of this angle. make sure to draw you ray to the end of the graph. 60°

Explanation:

Step1: Locate the initial side

The initial side of an angle in standard position is along the positive x - axis.

Step2: Measure the angle

Since the angle is \(60^{\circ}\), we rotate counter - clockwise from the positive x - axis. A \(60^{\circ}\) angle in standard position has a terminal side that can be described by the line \(y = \sqrt{3}x\) (for positive x values). On the coordinate grid, starting from the origin \((0,0)\), we can use the slope \(m=\sqrt{3}\approx1.73\). For example, if \(x = 1\), then \(y=\sqrt{3}\approx1.73\); if \(x = 2\), then \(y = 2\sqrt{3}\approx3.46\). We draw a ray from the origin with this slope to the end of the graph.

Answer:

Draw a ray from the origin with a slope of \(\sqrt{3}\) (rotating \(60^{\circ}\) counter - clockwise from the positive x - axis) to the end of the graph.