Trigonometry (10th Edition)

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

Chapter 1 - Trigonometric Functions - Section 1.3 Trigonometric Functions - 1.3 Exercises - Page 27: 85

Answer

1

Work Step by Step

given the equation $\sin^{2}180+\cos^{2}180$, it should be noted that $\sin180$ is 0 and therefore squaring it also results in a 0. $\cos180$ on the other hand, is equal to -1 and squaring that value would give 1, therefore $\sin^{2}180+\cos^{2}180=1$ In math terms: $\sin^{2}180+\cos^{2}180 = 0^{2} + -1^{2}$ $=1$
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