SOLUTION: Factor the expression and use the fundamental identities to simplify. Use a graphing utility to verify your result: 1-2cos^2x+cos^4x

Algebra ->  Trigonometry-basics -> SOLUTION: Factor the expression and use the fundamental identities to simplify. Use a graphing utility to verify your result: 1-2cos^2x+cos^4x      Log On


   

Question 827944: Factor the expression and use the fundamental identities to simplify. Use a graphing utility to verify your result:
1-2cos^2x+cos^4x
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
1-2cos^2x+cos^4x
cos%5E4%28x%29-2cos%5E2%28x%29%2B1=0
%28cos%5E2%28x%29-1%29%28cos%5E2%28x%29-1%29=0
%28cos%28x%29%2B1%29%28cos%28x%29-1%29%28cos%28x%29%2B1%29%28cos%28x%29-1%29=0
..
cos(x)+1=0
cos(x)=-1(mult.2)
x=π/2,3π/2
or
cos(x)-1=0
cos(x)=1(mult.2)
x=0,π
..
see graph below: