Question 866388: Find all exact solutions to the following equation that are in the interval [0,2pi). No decimal approximations: csc(3t)=2 sin(3t)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find all exact solutions to the following equation that are in the interval [0,2pi). No decimal approximations: csc(3t)=2 sin(3t)
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csc(3t)=2 sin(3t)
1/sin(3t)=2sin(3t)
2sin^2(3t)=1
sin^2(3t)=1/2
sin(3t)=±√1(2)=±1/√2=±√2/2
3t=π/4, 3π/4, 5π/4, 7π/4
t=π/12, π/4, 5π/12, 7π/12
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