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Show that: tan^-1 1 +tan^-1 2+tan^-1 3=2...

Show that: `tan^-1 1 +tan^-1 2+tan^-1 3=2(tan^-1 1+tan^-1 (1/2)+tan^-1 (1/3))`

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tan^-1 (1/2) + tan^-1 (1/3) = π/4

tan^(-1)2-tan^(-1)1=tan^(-1)(1/3)

tan^(-1)2-tan^(-1)1=tan^(-1)(1/3)

tan^(-1)2-tan^(-1)1=tan^(-1)(1/3)

Show that ( tan^(-1) 1 + tan^(-1) 2 + tan^(-1) 3) = pi

Prove that : tan^(-1) 1 + tan^(-1) 2 + tan^(-1) 3= pi = 2(tan^(-1) 1 + tan^(-1)((1)/(2)) + tan^(-1)( (1)/(3)))

tan^(-1)3-tan^(-1)2=tan^(-1)(1/7)

tan^(-1)3-tan^(-1)2=tan^(-1)(1/7)

tan^(-1)2-tan^(-1)1=tan^(-1)(1)/(3)

tan^(-1)2-tan^(-1)1=tan^(-1)((1)/(3))