SOLUTION: based on values theta (0< theta< 2pi) what satisfys these 2 equations? 1) 4cos theta + 1= 2 cos theta 2) cos theta

SOLUTION: based on values theta (0< theta< 2pi) what satisfys these 2 equations? 1) 4cos theta + 1= 2 cos theta 2) cos theta - tan theta cos theta = 0

Question 971128: based on values theta (0< theta< 2pi) what satisfys these 2 equations?
1) 4cos theta + 1= 2 cos theta
2) cos theta - tan theta cos theta = 0
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
based on values theta (0< theta< 2pi) what satisfys these 2 equations?
1) 4cos theta + 1= 2 cos theta
2cos(t) = -1
cos(t) = -1/2
t = (2/3)pi or t = (4/3)pi
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2) cos theta - tan theta cos theta = 0
cos(t) - tan(t)*cos(t) = 0
cos(t) - sin(t) = 0
cos(t) = sin(t)
sin(t)/cos(t) = 0
tan(t) = 0
t = 0 or t = pi
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Cheers,
Stan H.
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