Pre-Calculus: Graph Sine, Cosine with Phase Shifts
http://www.mindbites.com/series/115-pre-cal-graphing-sine-and-cosine-with-shifts for a bundle of videos on . For an even broader bundle of videos that cover and , check out http://www.mindbites.com/series/281-trigonometry-trigonometric-functions . To search for topic-specific help in our library of 400+ video products for Trigonometry & Pre-Calculus, please refer to our Trigonometry category at: http://www.mindbites.com/category/31-trigonometry and our Calculus Category at http://www.mindbites.com/category/23-calculus . To check out our full Trig & Pre-Cal video course, with 150 videos included, refer to: http://www.mindbites.com/series/845-trigonometry-full-course . Or, for access to this single video, go to: http://www.mindbites.com/lesson/1237-pre-calculus-graph-sine-cosine-with-phase-shifts Now that you have learned how to graph the sine and cosine functions, Professor Burger asks the question ""How does changing the x-value affect the graph?"" He shows you how adding or subtracting to the x-value can actually change graphs of the sine and cosine functions, a process called translation. Professor Burger also warns you about classic mistake #8, reminding you that adding and subtracting to the x-value actually creates the opposite effect when graphed (adding to X moves the graph in the negative direction). Finally, Professor Burger shows you how to simplify the equation y = 3sin(x + Pi/2) using translation. The key lies in the fact that adding or subtracting pi/2 or 2*pi to a sine or cosine function means there are some shortcuts that you can take to determine what the graph of the function looks like (e.g. the graph of sine of (x+pi/2) is the same as the graph of cosine and the same as the graph of sine of (x+2*pi)). Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Precalculus.
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