SOLUTION: Solve the equation in the interval [0,2\pi]. If there is more than one solution write them separated by commas. Hint: To solve this problem you will need the quadratic formula, i

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the equation in the interval [0,2\pi]. If there is more than one solution write them separated by commas. Hint: To solve this problem you will need the quadratic formula, i      Log On


   



Question 952161: Solve the equation in the interval [0,2\pi]. If there is more than one solution write them separated by commas.
Hint: To solve this problem you will need the quadratic formula, inverse trigonometric functions and the symmetry of the unit circle.
(cos x)^2-0.4cos x - 0.96 =0

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation in the interval [0,2\pi].
(cos x)^2-0.4cos x - 0.96 =0
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(cos + 0.8)*(cos - 1.2) = 0
cos = 1.2 Ignore.
----
cos(x) = -0.8
x = 143.13 degs
x = 216.87 degs
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Convert to radians is needed.