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Question
Find the angle between the lines whose slopes are `1/2` and 3.
Solution
Given that m1 = `1/2` and m2 = 3.
Let θ be the angle between the lines then
tan θ = `|(m_1 - m_2)/(1 + m_1m_2)|`
`= |(1/2 - 3)/(1 + 1/2 xx 3)|`
`= |((1 - 6)/2)/(1 + 3/2)|`
`= |(- 5/2)/(5/2)|`
= |- 1|
tan θ = 1
tan θ = tan 45°
∴ θ = 45°
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