![]() ![]() The trigonometric identities involving the tangent function are:.The values of the tangent function at specific angles are:.The graph of tan x has an infinite number of vertical asymptotes.Tan x is not defined at values of x where cos x = 0.The tangent function is an odd function because tan (-x) = -tan x.The basic properties of tan x along with its value at specific angles and the trigonometric identities involving tan x are: Next, let us go through some of the important properties of the tangent function. tan x = Opposite Side/Adjacent Side = Perpendicular/Base.The tangent function can also be expressed as the ratio of the sine function and cosine function which can be derived using a unit circle. As we know that, in a right-angled triangle, tan x is expressed as the ratio of the opposite side and the adjacent side of the angle in consideration. Now, we have two main formulas for the tangent function. Tangent function tan x is a periodic function and has a period of π/1 = π (Because b =1 in tan x). ![]() ![]() The formula for the period of the tangent function f(x) = a tan (bx), is given by, Period = π/|b|. We have various trigonometric identities and formulas related to the tangent function that can be derived using different formulas. It is the ratio of the opposite side and the adjacent side of the angle in consideration in a right-angled triangle. The tangent function is one of the main six trigonometric functions and is generally written as tan x. ![]()
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