SOLUTION: Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.) 2 (sqrt(2)) sin 2t − (sqrt(6)) tan 2t = 0

Algebra ->  Trigonometry-basics -> SOLUTION: Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.) 2 (sqrt(2)) sin 2t − (sqrt(6)) tan 2t = 0      Log On


   

Question 851485: Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.)
2 (sqrt(2)) sin 2t − (sqrt(6)) 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. (Enter your answers as a comma-separated list.) 2 (sqrt(2)) sin 2t − (sqrt(6)) tan 2t = 0
2sqrt%282%29sin%282t%29-sqrt%286%29tan%282t%29=0
2sqrt%282%29sin%282t%29cos%282t%29-sqrt%286%29sin%282t%29=0
sin%282t%29%282sqrt%282%29cos%282t%29-sqrt%286%29%29=0
..
sin(2t)=0
2t=0, π
t=0+π/2
..
cos%282t%29=sqrt%286%29%2F2sqrt%282%29=sqrt%283%29%2F2
2t=π/6, 11π/6
t=π/12, 11π/6