Domain Range Of A Tan Function

By mary jane sterling.

Domain range of a tan function. Since the denominator cannot be zero evaluate all values of theta where on the interval. Sin 1 x means sin xwhen 1 x 1 and ˇ 2 ˇ 2 2. ˇ domain range and de nition of the three main inverse trigonometric functions.

These values of theta are asymptotes and will not exist on the tangent curve. The tangent and cotangent are related not only by the fact that they re reciprocals but also by the behavior of their ranges. Since tan x tan x then tan x is an odd function and its graph is symmetric with respect the origin.

Rewrite the tangent function in terms of cosine and sine. The domain of a function is all the possible values for x that the function. They will not be included in the domain and parentheses will be used in the interval notation.

Since tan x sin x cos x then any value of x that results in cos x 0 must. Set builder notation for any integer. Can take and is defined.

F x tan x graph. It is defined for all real values of x range. X k pi where k is an integer.

The range of tangent is all real numbers. Be excluded from the domain for your f x since sin x 0 would not be defined at such values. All real numbers period pi x intercepts.