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

1 Answer | Add Yours

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

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.

We’ve answered 318,916 questions. We can answer yours, too.

Ask a question