SOLUTION: solve equation for 0 degrees < or equal to x < or equal to 360 degrees 3tanx=2cosx

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Question 884511: solve equation for 0 degrees < or equal to x < or equal to 360 degrees
3tanx=2cosx
Answer by lwsshak3(11628) About Me  (Show Source):
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solve equation for 0 degrees < or equal to x < or equal to 360 degrees
solve for x: (0 < x < 360˚)
3tanx=2cos
%283sinx%2Fcosx%29=2cosx
3sinx=2cos^2x=2(1-sin^2x)=2-2sin^2x
2sin^2x+3sinx-2=0
(2sinx-1)(sinx+2)=0
..
2sinx-1=0
sinx=1/2
x=30˚, 150˚
..
sinx+2=0
sinx=-2 (reject, (-1 ≤ sinx ≤ 1)