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Which expression gives tan θ for the acute angle between slopes m1 and m2?
A|m1m2/(m1 - m2)|
B|(1 + m1m2)/(m1 - m2)|
C|(m1 + m2)/(1 - m1m2)|
D|(m1 - m2)/(1 + m1m2)|
Answer & Solution
Correct answer: D. |(m1 - m2)/(1 + m1m2)|
The tangent subtraction identity applied to the two inclinations gives |(m1 - m2)/(1 + m1m2)|.
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