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

Which of the following could be the function graphed above?

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Given the graph above of \(y = \color{red}{A}\sin(x)+\color{blue}{B}\cos(x)\) for integers \(\color{red}{A}\) and \(\color{blue}{B},\) find \(\color{red}{A}-\color{blue}{B}.\)

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\[\large \color{purple}{g(x)=\cos|x|+\sin|x|}\]

Find the fundamental period of the function \(\color{purple}{g(x)}\).

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Find the fundamental period of the function \(f(x) =\sin(36x) \).

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