SOLUTION: Find all t in the interval [0, 2π] satisfying 2 cos 3t - cot 3t = 0. I honestly don't know where to even begin on this problem.

Question 675025: Find all t in the interval [0, 2π] satisfying 2 cos 3t - cot 3t = 0.
I honestly don't know where to even begin on this problem.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find all t in the interval [0, 2π] satisfying 2 cos 3t - cot 3t = 0.
I honestly don't know where to even begin on this problem.
**
2cos3t-cot3t=0
2cos3t=cot3t
2cos3t=cot3t/sin3t
2sin3tcos3t=cos3t
sin6t=cos3t
6t=π/3
t=π/18
note: at t=π/18, 6t and 3t become complementary angles

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SOLUTION: Find all t in the interval [0, 2&#960;] satisfying 2 cos 3t - cot 3t = 0. I honestly don't know where to even begin on this problem.

SOLUTION: Find all t in the interval [0, 2π] satisfying 2 cos 3t - cot 3t = 0. I honestly don't know where to even begin on this problem.