SOLUTION: 4 tangent theta times cosine squared theta equals 3 tangent theta. Find all angles in [0°;360°]

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Question 861664: 4 tangent theta times cosine squared theta equals 3 tangent theta. Find all angles in [0°;360°]
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
4 tangent theta times cosine squared theta equals 3 tangent theta. Find all angles in [0°;360°]
4tan%28x%29%2Acos%5E2%28x%29=3tan%28x%29
4tan%28x%29%2Acos%5E2%28x%29-3tan%28x%29=0
tan%28x%29%284cos%5E2%28x%29-3%29=0
tan(x)=0
x=0, π, 360
or
4cos^2(x)-3=0
cos^2(x)=3/4
cos(x)=±√3/2
x=30, 150, 210, 330˚