SOLUTION: Solve equation for all value of � if � measure in degrees 34)4cos^2�-4cos�+1 = 0

Question 401042: Solve equation for all value of � if � measure in degrees
34)4cos^2�-4cos�+1 = 0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve equation for all value of � if � measure in degrees
34)4cos^2�-4cos�+1 = 0
4cos^2�-4cos�+1 = 0
change theta to x for this format
4cos^2x-4cosx+1=0
to solve, treat this like a quadratic equation
let cosx=u
4u^2-4u+1=0
factor
(2u-1)(2u-1)=0
2u-1=0
u=1/2
cosx=u=1/2
x=+-60deg+-360kdeg, k being an integer
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