Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 1 - Trigonometric Functions - Section 1.3 Trigonometric Functions - 1.3 Exercises - Page 26: 21


$\csc$ is the reciprocal of $\sin$

Work Step by Step

1. Sine and cosecant use the same values, just one is the reciprocal of the other. If y is negative, sine and cosecant will be negative; if it is positive, the will both be positive. The value of r will be always positive, because it is a square root. $\sin\theta=\frac{y}{r}$ and $\csc\theta=\frac{r}{y}$
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