Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.3 - Right Triangle Trigonometry - Exercise Set - Page 563: 72

Answer

The statement does not make sense. The sine and cosine functions are not reciprocals of each other.

Work Step by Step

Consider the provided statement, There are three reciprocal trigonometric functions, making a total of six, including sine, cosine and tangent. The reciprocal of the cosine function is: $\frac{1}{\cos \theta }=\sec \theta $ The reciprocal of the sine function is: $\frac{1}{\sin \theta }=\csc \theta $ Hence, the statement does not make sense. The sine and cosine functions are not reciprocals of each other.
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