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: 28


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

Work Step by Step

1. Angle in the Quadrant IV, between 270 and 360. It will have positive x and negative 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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