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Chapter 13: Problem 66

Sketch each angle in standard position. $$ -270^{\circ} $$

Short Answer

Expert verified
The terminal side of -270 degrees lies along the positive y-axis.

Step by step solution

01

Understand Standard Position

To sketch an angle in standard position, start by drawing an initial line (also known as initial side) that lies along the positive x-axis. The vertex of the angle will be the origin point.
02

Understand The Negative Sign

The negative sign signifies that the movement would be in the clockwise direction. The magnitude of the angle is 270 degrees. This tells us how much we rotate from the initial side. So, we will be rotating 270 degrees clockwise from the initial side.
03

Sketch The Angle

If we draw a quarter circle clockwise from the initial side, that鈥檚 -90 degrees. Two quarter circles clockwise makes -180 degrees and 3 quarter circles give -270 degrees. Sketching this shows us that the terminal side lies along the positive y-axis.

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