SOLUTION: Period of 3sec x\2

Question 1114138: Period of 3sec x\2

Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

sec(x) is the reciprocal of cos(x); its period is the same as cos(x), which is 2pi.

The "3" in 3sec(x/2) does not affect the period. The period is the range of values of x for which x/2 goes from 0 to 2pi:

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So the period of 3sec(x/2) is 4pi.

A shortcut for finding the period of sec(ax) (or sin(ax), or cos(ax), or csc(ax)) is

But I think it is more instructional to understand WHY that shortcut works:

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