SOLUTION: greetings im in desperate need of help with this problem.i will comment and like your profile guaranteed and please show the work. find all values of ⊖ in the interval

Algebra ->  Trigonometry-basics -> SOLUTION: greetings im in desperate need of help with this problem.i will comment and like your profile guaranteed and please show the work. find all values of ⊖ in the interval       Log On


   



Question 601201: greetings im in desperate need of help with this problem.i will comment and like your profile guaranteed and please show the work.

find all values of ⊖ in the interval 0°≤ ⊖ < 360° that satisfy the equation 2cosē⊖ = cos ⊖ + 1

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find all values of ⊖ in the interval 0°≤ ⊖ < 360° that satisfy the equation 2cosē⊖ = cos ⊖ + 1
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Sub x for cos(theta)
2x^2 = x + 1
2x^2 - x - 1 = 0
(2x + 1)*(x - 1) = 0
x = 1
cos = 1
theta = 90 degs
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x = cos = -1/2
theta = 120, 240 degs