Domain Of Tan X In Interval Notation

These values of theta are asymptotes and will not exist on the tangent curve.

Domain of tan x in interval notation. Take the inverse tangent of both sides of the equation to extract from inside the tangent. Rewrite the tangent function in terms of cosine and sine. The exact value of is.

They will not be included in the domain and parentheses will be used in the interval notation. Since the denominator cannot be zero evaluate all values of theta where on the interval. What is the interval that represents the domain of the function eq f x tan 1 x eq.

The tangent function is positive in the first and third quadrants. The domain of a function is the defined values of the given function in the x axis. Convert to interval notation tan x 1.

X x π 2 πn x x π 2 π n for any integer n n. Y y r y y ℝ determine the domain and range. To find the second solution add the reference angle from to find the solution in the fourth quadrant.

Set builder notation. The ranges of both tangent and cotangent are infinite which when expressed in mathematical notation looks like this. The domain is all values of x x that make the expression defined.

The range values for these functions get very small toward negative infinity or very large toward positive infinity whenever the denominator of the respective ratio gets close to 0.