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" 21."(1)/(2)tan^(-1)(4)/(3)=tan^(-1)(1)...

" 21."(1)/(2)tan^(-1)(4)/(3)=tan^(-1)(1)/(2)

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Show that ,,tan^(-1)(1)/(2)+tan^(-1)(2)/(11)=tan^(-1)(3)/(4)

Prove that tan^(-1)""(1)/(2)+tan^(-1)""(2)/(11)=tan^(-1)""(3)/(4)

2 tan ^(-1) ""(1)/(2) = tan^(-1) ""(4) /(3)

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

tan^(-1) 1+tan ^(-1) 2+tan ^(-1) 3 = pi =2 (tan ^(-1) ""(1)/(2)+tan ^(-1) ""(1)/(3) + tan ^(-1) 1) [ take priencipal value in each case]

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)

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