SOLUTION: y= 400 cos 5 pi x what is the period?

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Question 640628: y= 400 cos 5 pi x
what is the period?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
recall:
The b in both of the graph types
y+=+a%2A+sin+bx
y+=+a+%2Acos+bx
affects the period (or wavelength) of the graph. As b gets larger, the period decreases.
The period is the distance (or time) that it takes for the sine or cosine curve to begin repeating again.
The period is given by:
Period=2pi%2Fb
so, the period in y=+400+%2Acos+5%2Api%2Ax where a=400, b=5%2Api will be
Period=2%2Api%2F5%2Api
Period=2%2Across%28pi%29%2F5%2Across%28pi%29

Period=2%2F5