# Find the X and Y Intercepts y=3tan(x)

Find the X and Y Intercepts y=3tan(x)
Find the x-intercepts.
To find the x-intercept(s), substitute in for and solve for .
Solve the equation.
Rewrite the equation as .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
Take the inverse tangent of both sides of the equation to extract from inside the tangent.
The exact value of is .
The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from to find the solution in the fourth quadrant.
Find the period of .
The period of the function can be calculated using .
Replace with in the formula for period.
The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
The period of the function is so values will repeat every radians in both directions.
, for any integer
, for any integer
, for any integer
x-intercept(s) in point form.
x-intercept(s): , for any integer
x-intercept(s): , for any integer
Find the y-intercepts.
To find the y-intercept(s), substitute in for and solve for .
Solve the equation.
Remove parentheses.
Simplify .
The exact value of is .
Multiply by .
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
List the intersections.
x-intercept(s): , for any integer
y-intercept(s):
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