## Trigonometry (11th Edition) Clone

Published by Pearson

# Chapter 6 - Inverse Circular Functions and Trigonometric Equations - Section 6.2 Trigonometric Equations I - 6.2 Exercises - Page 273: 15

#### Answer

There are 2 values of $x$ satisfying the equation $$x=\frac{3\pi}{4}$$ and $$x=\frac{7\pi}{4}$$

#### Work Step by Step

$$2\cot x+1=-1$$ $$2\cot x=-2$$ $$\cot x=-1$$ In the interval $[0,2\pi)$, there are 2 values of $x$ satisfying the equation, which is $$x=\frac{3\pi}{4}$$ and $$x=\frac{7\pi}{4}$$

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