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: 23


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

Work Step by Step

1. Angle in the Quadrant II, between 90 and 180. It will have negative x and positive 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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