## Trigonometry (10th Edition)

Published by Pearson

# Chapter 1 - Trigonometric Functions - Section 1.4 Using the Definitions of the Trigonometric Functions - 1.4 Exercises - Page 36: 30

#### Answer

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

#### Work Step by Step

1. Angle in the Quadrant I, and coterminal angle between 0 and 90. It will have positive 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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