Homework Soursewhat are the xintercepts of the graph fx4cos2x3 on the inter
what are the x-intercepts of the graph f(x)=4cos^2x-3 on the interval [0,2]?
Solution
f(x) = 4cos^2x -3
x intercepts: f(x) =0 ; 4cos^2x -3 =0
cos^2x = 3/4
cosx = +/-sqrt(3)/2
cosx = sqrt(3)/2 ; x = pi/6 , 2pi-pi/6 = pi/6 , 11pi/6
cosx =-sqrt(3)/2 ; x= pi-pi/6 , pi+pi/6
x = 5pi/6 , 7pi/6
Solution : x= pi/6 , 5pi/6 , 7pi/6 , 11pi/6 in the interval [0, 2pi ]
![what are the x-intercepts of the graph f(x)=4cos^2x-3 on the interval [0,2]?Solutionf(x) = 4cos^2x -3 x intercepts: f(x) =0 ; 4cos^2x -3 =0 cos^2x = 3/4 cosx =](/WebImages/4/what-are-the-xintercepts-of-the-graph-fx4cos2x3-on-the-inter-978915-1761502372-0.webp "what are the x-intercepts of the graph f(x)=4cos^2x-3 on the interval [0,2]?Solutionf(x) = 4cos^2x -3 x intercepts: f(x) =0 ; 4cos^2x -3 =0 cos^2x = 3/4 cosx =")
