tan^(-1)(4)/(7)-tan^(-1)(1)/(5)=tan^(-1)(1)/(3)

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

Prove that: tan^(-1)(1)/(7)+tan^(-1)(1)/(13)=tan^(-1)(2)/(9)tan^(-1)+tan^(-1)(1)/(5)+tan^(-1)(1)/(8)=(pi)/(4)tan^(-1)(3)/(4)+tan^(-1)(3)/(5)-tan^(-1)(8)/(19)=(pi)/(4)tan^(-1)(1)/(5)+tan^(-1)(1)/(7)+tan^(-1)(1)/(3)+tan^(-1)(1)/(8)=(pi)/(4)cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)(1)/(13)

tan^(-1)((4)/(7))+tan^(-1)((1)/(7)) = tan^(-1)((7)/(9))

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

Solve: tan^(-1)((1)/(2))+tan^(-1)((1)/(3))+tan^(-1)((3)/(5))+tan^(-1)((1)/(7))

2tan^(-1)((1)/(5))+tan^(-1)((1)/(8))= tan^(-1)((4)/(7))

1/3gt0,3/4gt0impliestan^(-1)(1/3)-tan^(-1)(3/4) =tan^(-1)((1/3-3/4)/(1+1/3 . 3/4))=tan^(-1)((-5)/15)=tan^(-1)(1/3) =-tan^(-1)(1/3)

4tan^(-1)((1)/(5))-tan^(-1)((1)/(70))+tan^(-1)((1)/(99))=pi/4

tan^(-1)((1)/(5))+tan^(-1)((1)/(7))+tan^(-1)((1)/(3))+tan^(-1)((1)/(8))=

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