Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 5 - Trigonometric Functions - 5.2 Trigonometric Functions - 5.2 Exercises - Page 519: 44

Answer

See graph, $-\frac{3\sqrt {34}}{34}, \frac{5\sqrt {34}}{34}, -\frac{3}{5}$, $ -\frac{5}{3}, $ $ \frac{\sqrt {34}}{5}$, $ -\frac{\sqrt {34}}{3}$.

Work Step by Step

See graph with $\theta\approx329^\circ$, use point $(5,-3)$ with $r=\sqrt {34}$ $sin\theta=-\frac{3\sqrt {34}}{34}, cos\theta=\frac{5\sqrt {34}}{34}, tan\theta=-\frac{3}{5}$, $cot\theta=-\frac{5}{3}, $ $sec\theta=\frac{\sqrt {34}}{5}$, $csc=-\frac{\sqrt {34}}{3}$.
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