SOLUTION: The line y=x/2 makes an angle w with the positive x-axis. The line y=mx makes an angle 2w with the positive x-axis. Compute m.

Question 1114028: The line y=x/2 makes an angle w with the positive x-axis. The line y=mx makes an angle 2w with the positive x-axis. Compute m.
Answer by ikleyn(52908) (Show Source): You can put this solution on YOUR website!
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The line  y = x/2  has the slope of 0.5.


Hense, the angle w is  such that  tan(w) = 0.5,  i.e.  w = atan(0.5).


Then  tan(2w) =  =  =  =  = .


Thus  m = tan(2w) = .


Answer.  m = .

Solved.

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