Trigonometry 7th Edition

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

Chapter 1 - Section 1.2 - The Rectangular Coordinate System - 1.2 Problem Set - Page 25: 69

Answer

$ 225^{\circ}$

Work Step by Step

Given angle = $ -135^{\circ}$ In figure 24, we can see that terminal position corresponding to $ -135^{\circ}$ from positive side is $ 225^{\circ}$. Therefore angle coterminal with $ -135^{\circ}$ between $0^{\circ}$ and $360^{\circ}$ = $ 225^{\circ}$ Cross checking- Angle coterminal with $ -135^{\circ}$ between $0^{\circ}$ and $360^{\circ}$ = $ -135^{\circ} + 360$ = $ 225^{\circ}$
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