Graph of tangent function pdf

Graph of a general tangent function general form the general form of a tangent function is. 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. Trigonometry graph of a general tangent function general form. 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. Those asymptotes give you some structure from which you can fill in the missing points. In this equation, we find several parameters of the function which will help us graph it. Unit 6 worksheet 22 graphing tangent functions tangent functions standard form.

Example 1 graphing a tangent function describe the graph of the function in terms of a basic. Working in groups, students prepare graphs of separate branches of. First off, the amplitude is not an accurate factor for the tangent and cotangent functions because they both depart from the xaxis to infinity on both ends. Graphing sine, cosine, and tangent functions classzone. The tangent function has a parent graph just like any other function. To graph y tan x, draw the asymptotes and plot the coordinate pairs from the table. Graphing sine and cosine functions graph the function. The domain of y tan x will not include values of x which make the.

The graphs of fx sinx and gx cosx are therefore said to have an amplitude of 1. 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. Thus, for the graph of y tan x vertical asymptotes occur at these x one period 1112 values. Graphs of the trigonometric functions sine, cosine and tangent, together with some tabulated values are shown here for reference. Lesson 67 graphing other trigonometric functions 395 67 r e a l w o r l d a p p. At these values, the graph has a vertical asymptote. A graphing calculator will display the graph of the sine function. Notice that the range values for the interval 3 2 x 2 repeat for the intervals 2 x 2 and 2 x 3 2. Key terms periodic function period sinusoidal curve amplitude. A cycle of the tangent function has two asymptotes and a zero pointhalfway in.

Graph sine and cosine functions, as applied in example 3. Chapter 11 434 chapter table of contents 111 graph of the sine function 112 graph of the cosine function 1 amplitude,period,and phase shift 114 writing the equation of a sine or cosine. A function is periodic if its graph posses a repeating pattern. Using the graph of this function, you can make the same type of transformation that applies to the parent graph of any function. In this lesson you will learn to graph functions of the form y. 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. Trigonometry graph of a general tangent function general. This will produce the graph of one wave of the function. The period for sinx and cosx is 2 the graph of the tangent function combines the periodic behavior of a trig function with period. Thus, the graph of will have asymptotes at the zeros of the sine function figure 4. 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. Because tan x sin xcos x, the zeros for the tangent function are the same as for the sine.