Answer
$51^{\circ}$
Work Step by Step
The reference angles are always acute, and for $\theta =309^{\circ}$
we have $\theta_{ref} =360^{\circ}-309^{\circ}=51^{\circ}$
Thus, the reference angle is $51^{\circ}$.
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 6 - 6.3 - Trigonometric Functions of Any Angle - 6.3 Exercises - Page 454: 44
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