SOLUTION: The question I'd like to ask is (5.3.2): Solve the equation of 2cosx - 1 = 0 I know that I should have a set of two "x =" solutions, but need some help after that. I thought th

Algebra ->  Trigonometry-basics -> SOLUTION: The question I'd like to ask is (5.3.2): Solve the equation of 2cosx - 1 = 0 I know that I should have a set of two "x =" solutions, but need some help after that. I thought th      Log On


   



Question 828455: The question I'd like to ask is (5.3.2):
Solve the equation of 2cosx - 1 = 0
I know that I should have a set of two "x =" solutions, but need some help after that. I thought the answer might be "x = (pi/3) + 2*n*pi and x = (5pi/3)+2*n*pi (where n is an integer)", but am second guessing myself; I think it is close to that, but I might have a value or two off. If you could show me the answer, as well as how you go that answer, it would be much appreciated.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
The question I'd like to ask is (5.3.2):
Solve the equation of 2cosx - 1 = 0
I know that I should have a set of two "x =" solutions, but need some help after that. I thought the answer might be "x = (pi/3) + 2*n*pi and x = (5pi/3)+2*n*pi (where n is an integer)", but am second guessing myself; I think it is close to that, but I might have a value or two off. If you could show me the answer, as well as how you go that answer, it would be much appreciated.

2 cos x - 1 = 0
2 cos x = 1 ------ Adding 1 to both sides
cos+x+=+1%2F2
1st Quadrant: highlight_green%28x=+60%5Eo%29 or highlight_green%28x+=+pi%2F3%29
4th Quadrant: highlight_green%28x=+300%5Eo%29 or highlight_green%28x+=+5pi%2F3%29
You can do the check!!
Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
Further help is available, online or in-person, for a fee, obviously.

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