SOLUTION: Find all solutions to the equation below on the interval [0, 2π). Enter them from smallest to largest; enter DNE in any empty blank. cos (2x) + cos (x) = 2 Thank you

Algebra ->  Trigonometry-basics -> SOLUTION: Find all solutions to the equation below on the interval [0, 2π). Enter them from smallest to largest; enter DNE in any empty blank. cos (2x) + cos (x) = 2 Thank you      Log On


   



Question 967392: Find all solutions to the equation below on the interval [0, 2π). Enter them from smallest to largest; enter DNE in any empty blank.
cos (2x) + cos (x) = 2
Thank you

Answer by t0hierry(194) About Me  (Show Source):
You can put this solution on YOUR website!
You know the highest value of cosine is 1
so if the sum of two cosine is 2
each must be 1
cos(xx) = 1
x = 2pi
x = 0