SOLUTION: Find all values of t in the interval [0, 2π] satisfying the given equation. 2 sin 2t − tan 2t = 0 What are all of the solutions? Thank you for the help!

Algebra ->  Trigonometry-basics -> SOLUTION: Find all values of t in the interval [0, 2π] satisfying the given equation. 2 sin 2t − tan 2t = 0 What are all of the solutions? Thank you for the help!       Log On


   

Question 861015: Find all values of t in the interval [0, 2π] satisfying the given equation.
2 sin 2t − tan 2t = 0
What are all of the solutions? Thank you for the help!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2sint%282t%29-tan%282t%29=0
2sin%282t%29-sin%282t%29%2Fcos%282t%29=0
sin%282t%29%282-1%2Fcos%282t%29%29=0
Two solutions:
sin%282t%29=0
2t=0 and 2t=pi
t=0 and t=pi%2F2
and
2-1%2Fcos%282t%29=0
1%2Fcos%282t%29=2
cos%282t%29=1%2F2
2t=pi%2F3 and 2t=%285%2F3%29pi
t=pi%2F6 and t=%285%2F6%29pi