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: 78

Answer

It is less than 1.

Work Step by Step

The trigonometric ratios apply to the right angle triangle and in the right angle triangle the largest side is the hypotenuse. So, the ratio of $\frac{\text{opposite}}{\text{hypotenuse}}\,\text{ and }\,\frac{\text{adjacent}}{\text{hypotenuse}}$ will be less than $1$ because the denominator has the hypotenuse (the largest side).
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