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The tangent function is an odd function because tan (-x) = -tan x. Tan x is not defined at values of x where cos x = 0. The graph of tan x has an infinite number of vertical asymptotes.
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- Tangent Definitions
- Values of The Tangent Function
- Properties of The Tangent Function
- Graph of The Tangent Function
There are two main ways in which trigonometric functions are typically discussed: in terms of right triangles and in terms of the unit circle. The right-angled triangle definition of trigonometric functions is most often how they are introduced, followed by their definitions in terms of the unit circle.
There are many methods that can be used to determine the value for tangent such as referencing a table of tangents, using a calculator, and approximating using the Taylor Seriesof tangent. In most practical cases, it is not necessary to compute a tangent value by hand, and a table, calculator, or some other reference will be provided.
Below are a number of properties of the tangent function that may be helpful to know when working with trigonometric functions.
The graph of tangent is periodic, meaning that it repeats itself indefinitely. Unlike sine and cosine however, tangent has asymptotes separating each of its periods. The domain of the tangent function is all real numbers except whenever cos(θ)=0, where the tangent function is undefined. This occurs whenever . This can be written as θ∈R, . Below is...
Therefore, tangent is an odd function. We can further analyze the graphical behavior of the tangent function by looking at values for some of the special angles, as listed in Table 2.3.1. These points will help us draw our graph, but we need to determine how the graph behaves where it is undefined.
Free tangent line calculator - find the equation of the tangent line given a point or the intercept step-by-step
We can determine whether tangent is an odd or even function by using the definition of tangent.
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How to make a Graph of the Tangent Function? Properties of the tangent function, Unir circle and the tangent function, examples and step by step solutions
