Question

Find the angle of least positive measure (not equal to the given measure) that is coterminal with each angle. See Example 5 . $$-98^{\circ}$$

   Find the angle of least positive measure (not equal to the given measure) that is coterminal with each angle. See Example 5 .
$$-98^{\circ}$$

Precalculus Student Solutions Manual 5th

Precalculus Student Solutions Manual 5th

Margaret L. Lial,… 5th Edition

Chapter 5, Problem 78

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Coterminal angles are angles that share the same initial and terminal sides. To find coterminal angles, you can add or subtract full rotations (360°) from the given angle. Show more…

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Find the angle of least positive measure (not equal to the given measure) that is coterminal with each angle. See Example 5 . $$-98^{\circ}$$

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Key Concepts

Coterminal Angles

Coterminal angles are angles that share the same terminal side when drawn in standard position; they differ by an integer multiple of a full rotation (360° in degrees or 2? in radians). This means that by adding or subtracting full rotations to any angle, you obtain another angle that points in the same direction.

Least Positive Angle

The least positive angle is the smallest angle greater than 0° that is coterminal with a given angle. It is found by adding or subtracting multiples of 360° until the resulting angle lies within the interval from 0° to 360°.

Full Rotation

A full rotation, which is 360° in degrees, represents the complete turn around a circle. The concept of a full rotation is fundamental when working with coterminal angles, as adding or subtracting 360° (or multiples thereof) results in an angle that has the same terminal side.

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