Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 2 - Review Exercises - Page 88: 5

Answer

$x = 7^{\circ}$

Work Step by Step

Use the concept of cofunction $\tan x = \cot (90^{\circ} -x)$ $\tan (5x +11^{\circ}) = \cot (6x +2^{\circ})$ $\tan (5x +11^{\circ}) = \tan (90^{\circ} - (6x +2^{\circ}))$ $5x +11 ^{\circ} = 90^{\circ} -6x -2^{\circ}$ $11x =77^{\circ}$ $x =7^{\circ}$
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