Trigonometry 7th Edition

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

Chapter 2 - Section 2.1 - Definition II: Right Triangle Trigonometry - 2.1 Problem Set: 59

Answer

$\sqrt 2$

Work Step by Step

To find out exact value of $ \sec 45^{\circ}$, considering special triangle- $ 45^{\circ} - 45^{\circ} - 90^{\circ}$ $\sec 45^{\circ}$ = $\frac{hypotenuse}{side - adjacent - 45^{\circ}}$ $\sec 45^{\circ}$ = $ \frac{\sqrt 2}{1}$ = $\sqrt 2$
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