Graphing tangent functions pdf

2019-09-15 13:12

Graphing Trig Functions Date Period Using degrees, find the amplitude and period of each function. Then graph. 1) y sin 3 60 120 180 240 300 360 Using radians, find the amplitude and period of each function. Then graph. 7)56 Graphing Basic Trigonometric Functions 393 more insight into the nature of these functions by observing how y sin x b varies as the circular point P(a, b) moves around the unit circle. graphing tangent functions pdf

The Graph of the Sine Function and the Unit Circle Recall from Chapter 9 that if ROP is an angle in standard position with mea sure u and P ( p, q ) is a point on the unit circle, then (

The tangent function has a parent graph just like any other function. Using the graph of this function, you can make the same type of transformation that applies to the parent graph of any function. The easiest way to remember how to graph the tangent function is to remember that some interesting Graphs of the Sine andCosine Functions To help us graph the sine and cosine functions, we rst observe that these functions repeat their The graph of the sine function is symmetric with respect to the origin. This is as expected, since sine is an odd function. Since the cosine function is an even function, its graph is symmetric graphing tangent functions pdf 4 Graph of the Tangent Function The tangent function is odd, tan(x) tan x. The graph of y tan x is symmetric with respect to the origin. tan x sin x cos x tangent is undefined for values at which cos x 0. Two such values are x 2 1. 5708.

Graphs of the Six Trigonometric Functions y sinx y cosx Domain: Domain: All Reals All Reals Range: Range: [1; 1 [1; 1 Period: 2 Period: 2 graphing tangent functions pdf in Section1. 4. For the function f(x) 1 5cos(2x ), the argument of fis x. We shall have occasion, however, to refer to the argument of the cosine, which in this case is 2x. Loosely stated, the argument of a trigonometric function is the expression inside the function. Example. Graph one cycle of the following functions. 832 Chapter 14 Trigonometric Graphs, Identities, and Equations For a0 and b0, the graphs of yasinbxand yacosbx each have five keyxvalues on the interval 0x2 b: the xvalues at which the maximumand minimumvalues occur and the xintercepts. Graphing Sine and Cosine Functions Graph the function. a. y 2 sin x b. y cos 2x SOLUTION a.

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