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

The above graph is \(y=a \sin bx+c\) with \(a > 0\) and \(b > 0.\) What is the value of \(3a+2b+5c ?\)

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Which of the following trigonometric functions corresponds to the above graph?

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The above graph is \(y=a \cos (bx+c)\) with \(a > 0,\) \(b > 0\) and \(-\pi < c < \pi.\) What is the value of \(4a+3b+6c ?\)

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Which of the following functions corresponds to the above graph?

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If the above is the graph of \(y= \tan ax\) with \(a > 0,\) what is the value of \(16a ?\)

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