How do you find the period of $y=cos(2x)$ ?

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Answer 1 · 2018-04-11T21:34:41

$"Period" = pi$

If we express the cosine function in the following way:

$y=acos(bx+c)+d$

Then:

$\ \ \bb|a| \ \ \ ="the amplitude"$

$bb((2pi)/|b|) \ \="the period"$

$bb((-c)/b)= "the phase shift"$

$\ \ \ \bbd \ \ \="the vertical shift"$

For given function we have:

$|b|=2$

So period is:

$(2pi)/2=pi$

The graph confirms this:

enter image source here

How do you find the period of y=cos(2x)y=cos(2x)?