Prove that : tan^-1 1/5 + tan^-1 1/7 +tan^-1 1/3 +tan^-1 1/8 = pi/4

Answers (1)

Solution: 

 \ Rightarrow LHS= 	an^-1frac15+	an^-1frac17+	an^-1frac13+frac18\ \Rightarrow LHS=[	an^-1frac15+	an^-1frac17]+[	an^-1frac13+	an^-1frac18]\ \Rightarrow LHS=	an^-1[fracfrac15+frac171-frac15	imes frac17]+	an^-1[fracfrac13+frac181-frac13	imes frac18]\ \Rightarrow LHS=	an^-1frac617+	an^-1frac1123=	an^-1[fracfrac617+frac11231-frac617	imes frac1123]

 \ \Rightarrow LHS=	an^-1frac325325=	an^-11=fracpi 4  

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