Question

30 POINTS Which is an x-intercept of the graph of the function y=cot(3x)?

Answer 1

Answer:

$x=\frac{\pi}{6}$

Step-by-step explanation:

Choices aren't given, so i will solve this equation and find the first positive x-intercept angle.

First, x-intercept means the x-cutting point of the graph. This occurs when y = 0. So we will solve the equation for x. Shown below:

$y=Cot(3x)\\Cot(3x)=0\\ArcCot(Cot(3x))=ArcCot(0)\\3x=ArcCot(0)$

Inverse Cotangent (ArcCot) of 0 is at  $\frac{\pi}{2}$, so we can now solve for x:

$3x=ArcCot(0)\\3x=\frac{\pi}{2}\\x=\frac{\pi}{6}$

So, the x-intercept is at x = pi/6

Answer 2

Answer:

a on edg

Step-by-step explanation: