SOLUTION: Solve for all 0 degrees less than or equal to x less than 360 degrees. 3tan x- sqrt( 3 )=0 2sin x cos x=2sin x cos^2 x-sin^2 x + 3cos x

SOLUTION: Solve for all 0 degrees less than or equal to x less than 360 degrees. 3tan x- sqrt( 3 )=0 2sin x cos x=2sin x cos^2 x-sin^2 x + 3cos x - 1=0

Question 944480: Solve for all 0 degrees less than or equal to x less than 360 degrees.
3tan x- sqrt( 3 )=0
2sin x cos x=2sin x
cos^2 x-sin^2 x + 3cos x - 1=0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve for all 0 degrees less than or equal to x less than 360 degrees.
3tan x- sqrt( 3 )=0
tanx=√3/3
x=30˚, 150˚
..
2sin x cos x=2sin x
cosx=1
x=0
..
cos^2 x-sin^2 x + 3cos x - 1=0
cos^2x-(1-cos^2x)+3cosx-1=0
cos^2x-1+cos^2x+3cosx-1=0
2cos^2x+3cosx-2=0
(2cosx-1)(cosx+2)=0
2cosx-1=0
cosx=1/2
x=60˚, 300˚
..
cosx+2=0
cosx=-2
no solution (-1 ≤ cosx ≤ 1)
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