Prove that : tan^-1 3/4 +tan^-1 3/5 - tan^-1 8/19 =pi/4

Answers (1)

Solution:

            \Rightarrow LHS=	an^-1frac34+	an^-1frac35-	an^-1frac819\ \Rightarrow LHS=[	an^-1frac34+	an^-1frac35]-	an^-1frac819\ \Rightarrow LHS=	an^-1frac2711-	an^-1frac819\ \Rightarrow LHS=	an^-1[fracfrac2711-frac8191-frac2711	imes frac819]=	an^-1frac425425=	an^-11=fracpi 4

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