How do you find the domain and range of $(\frac{1}{2}) cos 2 x$ $(1/2)cos2x$ ?

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Answer 1 · 2017-10-08T08:27:23

The domain is $x in RR$
The range is $y in [-1/2, 1/2]$

The domain of the $cos(2x)$ is $x in RR$

To calculate the range, proceed as follows

Let $y=1/2cos(2x)$

$-1<=cos(2x)<=1$

and

$-1/2<=1/2cos(2x)<=1/2$

$-1/2<=y<=1/2$

The range is $y in [-1/2, 1/2]$

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