Question 1101623
Determine the values of 2t (not t) on [0,2π) that satisfy the following equation. (Separate multiple solutions with a comma. Give exact answers.)
3sin(2t)=−3/√2
sin(2t) = -1/sqrt(2)
2t = 5pi/4 or 2t = 7pi/4
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You now have two equations representing all possible solutions for 2θ. Solve each of those equations for θ. (Let θ1 and θ2 represent the solutions on [0,2π), where θ1is less than θ2.)
t1= 5pi/8 

t2= 7pi/8
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Cheers,
Stan H.
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Use these general solutions for θ to find the four solutions to 3sin(2θ)=−3/√2 on the interval
[0,2π). (Separate multiple solutions with a comma. Give exact answers.) 
θ=