Algebra and Trigonometry 10th Edition

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

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 $51^{\circ}$.
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