At which values of x does the graph of f(x) = cos x intersect the x-axis?0 π/2π3π/22π

Answer:At [tex]\frac{\pi}{2}and\frac{3\pi}{2}[/tex] the graph of f(x) = cos x intersect the x-axis.Step-by-step explanation:Given the function f(x)=cosxWe have to choose the value of x for which the graph intersect the x-axis.The graph intersect the x-axis when at any point of x value of y i.e f(x) is 0.Hence, [tex]f(0)=cos0=1[/tex][tex]f(\frac{\pi}{2})=cos(\frac{\pi}{2})=0[/tex][tex]f(\pi)=cos(\pi)=-1[/tex][tex]f(\frac{3\pi}{2})=0[/tex][tex]cos(2\pi)=1[/tex]At two values of x i.e at π/2 and 3π/2 the value of y is 0.Hence, at [tex]\frac{\pi}{2}and\frac{3\pi}{2}\text{the graph of f(x) = cos x intersect the x-axis}[/tex]