# Chapter 4 - Graphs of the Circular Functions - Section 4.3 Graphs of the Tangent and Cotangent Functions - 4.3 Exercises - Page 173: 60

The least positive x-intercept of the graph of this function is $x = 0.322$

#### Work Step by Step

To find the least positive x-intercept, we can set the value of the function equal to zero. $y = -2-cot(x-\frac{\pi}{4}) = 0$ $cot(x-\frac{\pi}{4}) = -2$ $x-\frac{\pi}{4} = arccot(-2)$ $x-\frac{\pi}{4} = -0.46365$ $x = -0.46365+\frac{\pi}{4}$ $x = 0.322$ The least positive x-intercept of the graph of this function is $x = 0.322$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.