# How do you sketch f(x)=cos^2(x)?

f(x) = ${\cos}^{2}$x also means f(x) = ${\left(\cos x\right)}^{2}$
i.e. the maximum point of this graph is ${1}^{2}$ which is 1 itself and also all the negative values when squaring becomes positive so the range is $0 \le f \left(x\right) \le 1$.