Solve for x : `2*tanx*sin x = sqrt 3*tan x`

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justaguide eNotes educator| Certified Educator

The equation to be solved is: `2tan x*sin x = sqrt 3*tan x`

=> `2tan x*sin x = sqrt 3*tan x`

=> `2*(sin^2 x)/(cos x) = sqrt 3*sin x/cos x`

=> `2*(sin^2x)/(cos x) - sqrt 3*sin x/cos x = 0`

=> `sin x(2*sin x - sqrt 3) = 0`

=> sin x = 0 and sin x = sqrt 3/2

=> x = 0 and x = 60

The solution of the equation is x = 0 + n*360 and x = 60 + n*360 degrees.

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