Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 5 - Trigonometric Functions - Section 5.2 Trigonometric Functions: Unit Circle Approach - 5.2 Assess Your Understanding - Page 402: 36


$\dfrac{\sqrt 3}{2}$

Work Step by Step

We need to compute $\tan 45^{\circ} \cos 30^{\circ}$. We use the unit circle values (where t$\tan{45^{\circ}}=1$ and $\cos{30^{\circ}}=\frac{\sqrt3}{2}$ to obtain: $\tan 45^{\circ} \cos 30^{\circ} \\ =(1) \times (\dfrac{\sqrt 3}{2}) \\=\dfrac{\sqrt 3}{2}$
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