The problem
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How do simplify this to get 2 - sqrt3
Answer provided by our tutors
pi/12 = pi/3 - pi/4
tan(pi/3 - pi/4)
Using the formula
A = pi/3, B = pi/4
tan(pi/3 - pi/4) = (tan(pi/3) - tan(pi/4))/(1 + tan(pi/3)*tan(pi/4))
Since
So,