Trigonometry (11th Edition) Clone

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