Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 1 - Trigonometric Functions - Section 1.3 Trigonometric Functions - 1.3 Exercises - Page 27: 3

Answer

Same.

Work Step by Step

Remember: 1) Nonquadrantal angles are the angles that are in the axis and not in the quadrants. 2) sin $\theta$ = $\frac{1}{csc \theta}$ so sin $\theta$ = $\frac{y}{r}$ and csc $\theta$ = $\frac{r}{y}$ as long as $y \ne 0$ This means that both trigonometric functions will have the sign of the $y$ value in the point of the angle $\theta$. So for any nonquadrantal angle $\theta$, sin $\theta$ and csc $\theta$ will have the same sign.
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