Trigonometry (10th Edition)

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

Chapter 1 - Trigonometric Functions - Section 1.4 Using the Definitions of the Trigonometric Functions - 1.4 Exercises - Page 36: 21


sin, csc, cos, sec are negative values and tan and cot are positive values

Work Step by Step

1. Angle in the Quadrant III, between 180 and 270. It will have negative x and y values. r is always positive. 2. Determine the sign: $\sin\theta=\frac{y}{r}= (-)$ $\cos\theta=\frac{x}{r}= (-)$ $\tan\theta=\frac{y}{x}= (+)$ 3. Remember, the reciprocal trig function will have the same sign as the original function $\csc\theta=(-)$ $\sec\theta=(-)$ $\cot\theta=(+)$
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