find all solutions on 0 is greater than or equal to theta < 2pi

cos theta= 2sqrt3/3
4-1/2sin theta= (-16+sqrt3)/4
3(sqrt3)= -3cot theta
-2=-1-2sin theta

2 answers

2√3/3 = 1.15
cosθ is never greater than 1.
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If you mean 4-(1/2)sinθ= (-16+√3)/4
sinθ = 4 - √3/4
sorry, sinθ is never greater than 1.

If you mean 4-(1/2sinθ) = (-16+√3)/4
sinθ = 2/(32-√3) = .066
θ = 3.78°
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cotθ = -√3
θ = 30°
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sinθ = 1/2
θ = 30°

I'll let you figure out the other angles less than 2pi
yeah im lost i have no idea what i did