SOLUTION: Algebraically find all the exact solutions to the equation 1-2sin(3theta)=0 on the interval 0 < theta < pi. Show all steps. Write all four solutions in a solution set.

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Question 745831: Algebraically find all the exact solutions to the equation 1-2sin(3theta)=0 on the interval 0 < theta < pi. Show all steps. Write all four solutions in a solution set.
Answer by lwsshak3(11628) About Me  (Show Source):
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Algebraically find all the exact solutions to the equation 1-2sin(3theta)=0 on the interval 0 < theta < pi. Show all steps. Write all four solutions in a solution set.
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1-2sin%283x%29=0
2sin%283x%29=1
sin(3x)=1/2
3x=π/6, 5π/6
x=π/18, 5π/18
{x|x=π/18, 5π/18}