SOLUTION: write an equation of the cosine function with amplitude 2, period pi,and phase shift pi/4.

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Question 229786: write an equation of the cosine function with amplitude 2, period pi,and phase shift pi/4.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
write an equation of the cosine function with amplitude 2, period pi,and phase shift pi/4. 


The general equations for sine and cosine are these:

y+=+Asin%28%282pi%2FP%29%28x-S%29%29

y+=+Acos%28%282pi%2FP%29%28x-S%29%29

where, 

A = the amplitude
P = the period
S = the phase shift

Yours is a cosine problem, so substituting in the second one:

y+=+%282%29cos%28%282pi%2F%28pi%29%29%28x-pi%2F4%29%29

y+=+2cos%28%282cross%28pi%29%2F%28cross%28pi%29%29%29%28x-pi%2F4%29%29

y+=+2cos%282%28x-pi%2F4%29%29

y+=+2cos%282x-pi%2F2%29

Edwin