Graph of tangent function pdf

Working in groups, students prepare graphs of separate branches of. Those asymptotes give you some structure from which you can fill in the missing points. Because tan x sin xcos x, the zeros for the tangent function are the same as for the sine. In this lesson you will learn to graph functions of the form y.

Page 1 of 2 832 chapter 14 trigonometric graphs, identities, and equations for a0 and b0, the graphs of yasinbxand yacosbx each have five keyxvalues on the interval 0. Graphs of the trigonometric functions sine, cosine and tangent, together with some tabulated values are shown here for reference. Key terms periodic function period sinusoidal curve amplitude. Thus, the graph of will have asymptotes at the zeros of the sine function figure 4. Using the graph of this function, you can make the same type of transformation that applies to the parent graph of any function. To display one cycle of the curve, let the window include values from 0 to 2 p for x and values slightly smaller than 21 and larger than 1 for y.

Graph sine, cosine, and tangent functions the period of a function is the distance on the xaxis a function travels until it starts repeating itself. In this equation, we find several parameters of the function which will help us graph it. The period for sinx and cosx is 2 the graph of the tangent function combines the periodic behavior of a trig function with period. The tangent function has a parent graph just like any other function. Trigonometry graph of a general tangent function general form. Lesson 67 graphing other trigonometric functions 395 67 r e a l w o r l d a p p. Graph of a general tangent function general form the general form of a tangent function is. To graph y tan x, draw the asymptotes and plot the coordinate pairs from the table. Example 1 graphing a tangent function describe the graph of the function in terms of a basic. Thus, for the graph of y tan x vertical asymptotes occur at these x one period 1112 values. The domain of y tan x will not include values of x which make the cos x denominator, cos x, equal to zero to avoid division by zero.

The domain of y tan x will not include values of x which make the. Graphing sine, cosine, and tangent functions classzone. This will produce the graph of one wave of the function. A cycle of the tangent function has two asymptotes and a zero pointhalfway in. Graphing sine and cosine functions graph the function. To plot the parent graph of a tangent function f x tan x where x represents the angle in radians, you start out by finding the vertical asymptotes. The graphs of fx sinx and gx cosx are therefore said to have an amplitude of 1. At these values, the graph has a vertical asymptote. Graph sine and cosine functions, as applied in example 3. A graphing calculator will display the graph of the sine function. A function is periodic if its graph posses a repeating pattern.