My audience is trigonometry students in high school or college. I am assuming that they know and understand how to graph trig functions and the basic form for a sinusoidal function and its components:
|A| = amplitude
B = cycles from 0 to
period =
D = vertical shift
C = horizontal shift (“phase shift” when B = 1)
The content is delivered, supposedly following a lesson in trigonometric functions, using maple as a pedagogical tool for expressing the translations of the sine and cosine functions with a change in C representing a horizontal shift, demonstrating how to transform each of the trigonometric functions to the other.
Maple is an appropriate tool for demonstrating this concept of trigonometry through an in-class lesson, because it enables you to do calculations, graphing, labels, and input text without any problems and easily correct errors, or change in equations, functions, or graphs.
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