SOLUTION: find all solutions to the equation in the interval [0, 2pi) (2 sin theta

SOLUTION: find all solutions to the equation in the interval [0, 2pi) (2 sin theta - sqrt 3) (cot theta + sqrt 3) = 0

Question 784629: find all solutions to the equation in the interval [0, 2pi)
(2 sin theta - sqrt 3) (cot theta + sqrt 3) = 0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find all solutions to the equation in the interval [0, 2pi)
(2 sin theta - sqrt 3) (cot theta + sqrt 3) = 0
***
(2sinx-√3)(cotx+√3)=0
2sinx-√3=0
sinx=√3/2
x=π/3, 2π/3(in Q1 and Q2 where sin>0)
..
cotx+√3=0
cotx=-√3
tanx=-1/√3=-√3/3
x=5π/6, 11π/6 (in Q2 and Q4 where cot and tan<0)

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