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Play with this demo to see how the cos() function is affected by a change of parameters.

https://www.desmos.com/calculator/ioqqzexrks

Lecture

Conclusions

Frequency Changes

Finding the Y-Intercept

Finding the X-intercepts

It's Good to Know That...

see also:

More on graphing:

http://www.shelovesmath.com/trigonometry/graphs-sine-cosine-tangent/#graphs