Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 5 - Trigonometric Functions - 5.1 Angles - 5.1 Exercises - Page 505: 98

Answer

Two positive coterminal angles: $180^\circ+360^\circ=540^\circ$ $180^\circ+2\times360^\circ=900^\circ$ Two negative coterminal angles: $180^\circ-360^\circ=-180^\circ$ $180^\circ-2\times360^\circ=-540^\circ$

Work Step by Step

In order to find the coterminal angles of a quadrantal angle, we have to add or subtract $360^\circ$. Two positive coterminal angles: $180^\circ+360^\circ=540^\circ$ $180^\circ+2\times360^\circ=900^\circ$ Two negative coterminal angles: $180^\circ-360^\circ=-180^\circ$ $180^\circ-2\times360^\circ=-540^\circ$
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