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) (Show Source):
You can put this solution on YOUR website! csc 3θ = 6 sin 3θ
-----
(1/sin(3t)) = 6*sin(3t)
----
sin^2(3t) = 1/6
-----
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
----------
(b) Find the solutions in the interval [0, 2π).
θ = 0.14+-(2/3)pi
--------------------
Cheers,
Stan H.
(