SOLUTION: Find the acute angle between the lines whose slopes are 2 and 1÷3

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Question 1142687: Find the acute angle between the lines whose slopes are 2 and 1÷3
Answer by ikleyn(52915) About Me  (Show Source):
You can put this solution on YOUR website!
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You are given  tan%28alpha%29 = 2  and  tan%28beta%29%29%29+=+%7B%7B%7B1%2F3,


and they want you find  acute angle  alpha-+beta.


tan%28alpha+-+beta%29 = %28tan%28alpha%29+-+tan%28beta%29%29%2F%281+%2B+tan%28alpha%29%2Atan%28beta%29%29 = %282-1%2F3%29%2F%281+%2B+2%2A%281%2F3%29%29 = %28%285%2F3%29%29%2F%28%281%2B2%2F3%29%29 = %28%285%2F3%29%29%2F%28%285%2F3%29%29%29 = 1.


Therefore,  alpha+-+beta = pi%2F4 = 45 degrees.    ANSWER

Solved.