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Plot the six different trig functions, discover their illuminating interactions, and ride the wave!

Given the graph \( y = \tan x \), how do we obtain the graph of \( y = 8 \tan x \)?

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Which of the following is equal to \(\cos x?\)

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Find the maximum value \(a\) and the minimum value \(b\) of the function \( y = \cos x+7.\)

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Given the graph \( y = \cos x \), how do we obtain the graph of \( y = \cos 9 x \)?

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How are the graphs \( y_ 1 = \sin ( 2 x) \) and \( y_2 = 5 \sin x \) related?

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