Transformation of Trigonometric Graphs

OML Search In these lessons, we will learn how Trigonometric Graphs can be transformed. the amplitude and vertical shift of Trigonometric Graphs the period and phase shift of Trigonometric Graphs Related Topics:More Trigonometric Lessons Stretching and Compressing of Graphs Amplitude of Trigonometric Functions The amplitude of a trigonometric function is the maximum displacement on the graph of that function. In the case of sin and cos functions, this value is the leading coefficient of the function. In the case of tan, cot, sec, and csc, the amplitude would be infinitely large regardless of the value of A. Period of Trigonometric Function The period of a function is the displacement of x at which the graph of the function begins to repeat. Consider y = sin x The value x = 2π is the point at which the graph begins to repeat that of the first quadrant. The general form isy = A sin Bxwhere is the amplitude and B determines the period. Solution: Since B = 2, the period is Solution: Rewrite Videos

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Transformations of the Sine and Cosine Graphs Transformations of the Sine and Cosine Graph – An Exploration By Sharon K. O’Kelley Graphs of trigonometric functions The Topics | Home Zeros of a function The graph of y = sin x The period of a function The graph of y = cos x The graph of y = sin ax Questions on Trigonometric Functions 1. Use the definitions of the six trigonometric functions and the Pythagorean Identity given in the Field Guide Lesson to show that: 1 + tan2(x) = sec2(x) 1 + cot2(x) = csc2(x) 2. Draw graphs of each of the functions.

Radians to degrees How to convert degrees to radians or radians to degrees. Theory: What are 'radians' ? Review : Trig Functions The intent of this section is to remind you of some of the more important (from a Calculus standpoint…) topics from a trig class. One of the most important (but not the first) of these topics will be how to use the unit circle. We will actually leave the most important topic to the next section. First let’s start with the six trig functions and how they relate to each other. Recall as well that all the trig functions can be defined in terms of a right triangle. From this right triangle we get the following definitions of the six trig functions.

How to Change the Amplitude, Period, and Position of a Tangent or Cotangent Graph You can transform the graph for tangent and cotangent vertically, change the period, shift the graph horizontally, or shift it vertically. However, you should take each transformation one step at a time. For example, to graph follow these steps: Sketch the parent graph for tangent. Basic Trigonometric Graphs Trigonometric Functions and Their Graphs: The Sine and Cosine (page 1 of 3) Sections: The sine and cosine, The tangent, The co-functions At first, trig ratios related only to right triangles. Scaffolded Math and Science: Middle School Math Word Wall Ideas For a year between teaching mainstream high school math and teaching special education high school math, I tried teaching middle school math. My husband and I had moved further out from the city, the job was listed as an 8th grade Algebra position, I love Algebra, it was closer to my new apartment, what could go wrong?Everything. Everything could go wrong. I got eaten alive.You middle school teachers-- hats off to you.