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The general equation of a sine graph is y a sin b x d c.
Cosine graph equation math. Identifying the period of a sine or cosine function. In the given equation b π 6 b π 6 so the period will be. Determine the period of the function f x sin π 6x f x sin π 6 x. Use the basic equations as given y sin x displaystyle y sin x andy c o s x displaystyle y cos x for a sine or cosine graph simply go from 0 to 2π on the x axis and 1 to 1 on the y axis intersecting at the origin.
You ll see that the graph f x cos x crosses the x axis twice. Given a transformed graph of sine or cosine determine a possible equation. Referring to the unit circle find where the graph f x cos x crosses the x axis by finding the angles on the unit circle where the cosine is 0. Like with sine graphs the domain of cosine is all real numbers and its range is calculate the graph s x intercepts.
The general equation of a cosine graph is y a cos b x d c.
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