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Two black lines pass through the origin, as shown below.  If their slopes are 2 and 4, then find the slope of the red line that bisects the acute angle between these lines.

 

 Apr 23, 2022
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We can find the slope  as

 

tan  [  (arctan 4  +arctan 2)   / 2 ]   ≈   2.7

 

 

cool cool cool   

 Apr 23, 2022

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