document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #729041 by ikleyn(52909)\"\" \"About 
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document.write( "The line  y = x/2  has the slope of 0.5.\r\n" );
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document.write( "Hense, the angle w is  such that  tan(w) = 0.5,  i.e.  w = atan(0.5).\r\n" );
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document.write( "Then  tan(2w) = \"%282%2Atan%28w%29%29%2F%281-tan%5E2%28w%29%29\" = \"%282%2A0.5%29%2F%281-0.5%5E2%29\" = \"1%2F%281-1%2F4%29\" = \"1%2F%28%283%2F4%29%29\" = \"4%2F3\".\r\n" );
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document.write( "Thus  m = tan(2w) = \"4%2F3\".\r\n" );
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document.write( "Answer.  m = \"4%2F3\".\r\n" );
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