Answer:
x-intercept of the graph of the function is,
Step-by-step explanation:
Given the function: ......[1]
x-intercept defined as the graph crosses the x-axis.
Substitute value of y = 0 in [1] and solve for x;
or
Take the inverse cotangent of both sides of the equation and solve for x;
3x = arccot (0)
We know the exact value of
then;
Divide both sides by 3 we get;
Since, the cotangent function is positive in the first and third quadrants.
The period of the function is
so values will repeat every
radians in both directions.
we have;
Therefore, the x-intercept of the graph of the function is ;
for every integer n;