SOLUTION: find all solutions of the equation in the interval [0,2PI). {{{-sin(x)+ square root of 3 cos(x)=3}}} -I tried putting the equation in to the graphing calculator and the answer

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: find all solutions of the equation in the interval [0,2PI). {{{-sin(x)+ square root of 3 cos(x)=3}}} -I tried putting the equation in to the graphing calculator and the answer       Log On

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Question 220033: find all solutions of the equation in the interval [0,2PI).
-sin%28x%29%2B+square+root+of+3+cos%28x%29=3
-I tried putting the equation in to the graphing calculator and the answer i keep on receiving is 2pi/3 and 4pi/3. which I'm not sure is correct if you would please answer me as soon as possible because I'd really like to understand thank you in advance

Answer by stanbon(57285) About Me  (Show Source):
You can put this solution on YOUR website!
find all solutions of the equation in the interval [0,2PI).
-sin(x)+ sqrt(3)*cos(x) = 3
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I graphed the left side and the right side separately.
They do not intersect.
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Are you sure you a properly posting your problem?
Cheers,
Stan H.