Tuesday, October 13, 2009

if (A-B) = pi/4 show that (1+tanA)(1+tanB) = 2tanA

if (A-B) = pi/4 show that (1+tanA)(1+tanB) = 2tanA

make it into A = B + (pi/4)
take tan on both sides, apply tan(A+B) identity
simplify and extract tanA
add tanA to both sides and then factorise
trigonometry identities

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