SOLUTION: Find the periods of Cos πx / 2.

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Question 1014140: Find the periods of Cos πx / 2.
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find the periods of cos%28pi%2Ax%2F2%29.
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The period is 4. 

Proof


cos%28pi%2A%28x%2B4%29%2F2%29 = cos%28pi%2Ax+%2B+4%2Api%2Ax%29%2F2 = cos%28%28pi%2Ax%29%2F2+%2B+2%2Api%29 = cos%28%28pi%2Ax%29%2F2%29.


Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

Find the periods of Cos πx / 2.
cos+%28%28pi+%2A+x%29%2F2%29 -------> matrix%281%2C5%2C%22cos%22%2C+%22%28%22%2Cpi%2F2%2Cx%2C%22%29%22%29

Period: %282%2Api%29%2Fmatrix%281%2C3%2Ccoefficient%2C+on%2C+x%29

Period: %282%2Api%29%2F%28pi%2F2%29%29 -------> %282pi%29+%2A+%282%2Fpi%29 ------ > %282cross%28pi%29%29+%2A+%282%2Fcross%28pi%29%29 -------> highlight_green%28highlight%284%29%29%29