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Prove that tan^(-1)1+tan^(-1)2+tan^(-1)3...

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

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Pove that i) tan^(-1)1/2+tan^(-1)2/11=tan^(-1)3/4 ii) tan^(-1)2/11+tan^(-1)7/24=tan^(-1)1/2 iii) tan^(-1)1+tan^(-1)1/2+tan^(-1)1/3=pi/2 iv) 2tan^(-1)1/3+tan^(-1)/17=pi/4 v) tan^(-1)2-tan^(-1)1=tan^(-1)1/3 vi) tan^(-1)+tan^(-1)2+tan^(-1)3=pi vii) tan^(-1)1/2+tan^(-1)1/5+tan^(-1)1/8=pi/4 viii) tan^(-1)1/4+tan^(-1)2/9=1/2tan^(-1)4/3

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

Prove that : tan^(-1)2+tan^(-1)3=(3 pi)/(4)