SOLUTION: Please help ! An equation is given. (Enter your answers as a comma-separated list. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUT

Algebra ->  Trigonometry-basics -> SOLUTION: Please help ! An equation is given. (Enter your answers as a comma-separated list. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUT      Log On


   



Question 1026814: Please help !
An equation is given. (Enter your answers as a comma-separated list. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
csc 3θ = 6 sin 3θ
(a) Find all solutions of the equation.
θ =
(b) Find the solutions in the interval [0, 2π).
θ =

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
csc 3θ = 6 sin 3θ
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(1/sin(3t)) = 6*sin(3t)
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sin^2(3t) = 1/6
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sin(3t) = 1/sqrt(6)
3t = arcsin(1/sqrt(6)) = (0.42+-2npi) radians
t = (0.14 +- (2/3)npi) radians
(a) Find all solutions of the equation.
θ = (0.14 +- (2/3)npi) radians
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(b) Find the solutions in the interval [0, 2π).
θ = 0.14+-(2/3)pi
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Cheers,
Stan H.