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

What is the periodicity of the function \( y=\sin2\theta ?\)

**Note:** the above graph is not drawn to scale.

What is the maximum value of the function \( y= 8\sin\theta+11, \) where \(0 \leq \theta < 2\pi ?\)

Which of the following functions corresponds to the above graph?

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