SOLUTION: Find all values of t in the interval [0, 2π] satisfying the given equation 4 sin 2t + 2 tan 2t = 0

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Question 861726: Find all values of t in the interval [0, 2π] satisfying the given equation
4 sin 2t + 2 tan 2t = 0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find all values of t in the interval [0, 2π] satisfying the given equation
4 sin 2t + 2 tan 2t = 0
divide by 2
2sin2t+tan2t=0
2sin2t+sin2t/cos2t=0
sin2t(2+(1/cos2t))=0
..
sin2t=0
2t=0
t=0
or
2+(1/cos2t)=0
1/cos2t=-2
cos2t=-1/2
2t=2π/3, 4π/3 (In Q2 and Q3 in which cos<0)
t=π/3, 2π/3