Prove: tan^-1 (1/4) + tan^-1 (3/5) = pi/4
Fortify ♪웨딩드레스 Joined Mar 20, 2007 Messages 1,281 Gender Male HSC 2009 May 25, 2009 #1 Prove: tan^-1 (1/4) + tan^-1 (3/5) = pi/4
scardizzle Salve! Joined Aug 29, 2008 Messages 166 Location Rwanda Gender Male HSC 2010 May 26, 2009 #2 Not sure if this is is right but here goes: tan^-1 (1/4) + tan^-1 (3/5) = pi/4 if this is true then tan(tan^-1 (1/4) + tan^-1 (3/5)) = tan pi/4 is true RHS = (1/4 + 3/5)/(1 - 1/4 x 3/5) = (17/20)/(17/20) = 1 = tan pi/4 = LHS
Not sure if this is is right but here goes: tan^-1 (1/4) + tan^-1 (3/5) = pi/4 if this is true then tan(tan^-1 (1/4) + tan^-1 (3/5)) = tan pi/4 is true RHS = (1/4 + 3/5)/(1 - 1/4 x 3/5) = (17/20)/(17/20) = 1 = tan pi/4 = LHS