Find the value of tan^-1 1/2 +tan^-1 1/5 + tan^-1 1/8 .

Answers (1)

Solution: We have ,

                 	an^-1frac12 +	an^-1frac15+	an^-1frac18

          [ecause 	an^-1x+	an^-1y=	an^-1(fracx+y1-xy)]

         Rightarrow   [	an^-1frac12+	an^-1frac15]=	an^-1frac79

   Now ,     	an^-1frac79+	an^-1frac18=	an^-1[fracfrac79+frac181-frac79	imes frac18]

              	an^-1frac79+	an^-1frac18=	an^-11=fracpi 4 

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