Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 3 - Section 3.1 - Reference Angle - 3.1 Problem Set - Page 122: 21


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Work Step by Step

To find exact value of $\tan 135^{\circ}$, let's find its reference angle first. As $ 135^{\circ}$ terminates in quadrant II, The reference angle = $ 180^{\circ} - 135^{\circ}$ = $45^{\circ}$ As $ 135^{\circ}$ terminates in quadrant II, its $\tan$ will be negative. Therefore by reference angle theorem- $\tan 135^{\circ}$ = - $\tan45^{\circ}$ = - 1
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