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Graphs of Trigonometric Functions

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

Recognizing Trigonometric Graphs

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

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

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

Which of the following functions corresponds to the above graph?

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

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