Sunday, 7 August 2016

trigonometry - Finding the Equation of a Trig Graph via both Sine and Cosine

Say I'm given a trig graph such as,



graph_of_y=-3cosx-1



I've found the graph using the sine function, but my teacher also wants me to list the graph for the cosine function. I don't understand how. Wolfram shows this as $y = -3\cos(2x) - 1$, but I don't understand how they arrived at that.



Can someone explain how they arrived at that and how to get the equation of the graph using cosine? Sine is pretty apparent, but cosine is not.

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