Sketch each angle in standard position. Draw an arrow...

Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable.
$$-180^{\circ}$$

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Key Concepts

Angle in Standard Position

An angle in standard position has its vertex at the origin with its initial side along the positive x-axis. The terminal side is determined by rotating the initial side using the given angle measure, and the direction of rotation (counterclockwise for positive angles, clockwise for negative angles) plays a key role in its determination.

Coterminal Angles

Coterminal angles are angles that share the same terminal side even though their measures differ by whole multiples of a full rotation (360° in degrees or 2? in radians). They are useful because they represent the same geometric position in the coordinate plane despite having different numerical values.

Quadrants

The Cartesian plane is divided into four quadrants, each characterized by the signs of the x and y coordinates. Identifying the quadrant in which the terminal side of an angle lies is crucial in determining the behavior and values of its trigonometric functions, even when the angle lies exactly on an axis.

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