Prove that: `cot^(-1)((ab+1)/(a-b))+cot^(-1)((bc+1)/(b-c))+cot^(-1)((ca+1)/(c-a))=0`.

If a > b > c >0 , prove that cot^(-1)((a b+1)/(a-b))+cot^(-1)((b c+1)/(b-c))+cot^(-1)((c a+1)/(c-a))=pi

If a > b > c >0 , prove that cot^(-1)((a b+1)/(a-b))+cot^(-1)((b c+1)/(b-c))+cot^(-1)((c a+1)/(c-a))=pi

Id a,b,c are distinct non-zero real numbers having the same sign. Prove that Cot^(-1)((ab+1)/(a-b)) +cot^(-1)((bc+1)/(b-c))+ Cot^(-1)((ca+1)/(c-a)) = pi (or) 2 pi .

Prove that : cot^(-1)((1+ab)/(a-b))+cot^(-1)((1+bc)/(b-c))+cot^(-1)((1+ca)/(c-a))=pi,(a>b>c>0)

If a

Prove that : cot^(-1)((1+ab)/(a-b))+cot^(-1)((1+bc)/(b-c))+cot^(-1)((1+ca)/(c-a))=pi,(a>b>c>0)

Answer any three questions (e) If a gt b gt c gt0 , then prove that cot^(-1) ((ab+1)/( a-b)) + cot^(-1) ((bc + 1)/( b-c)) + cot^(-1) ((ca + 1)/( c'-a)) = pi

If ab gt -1, bc gt -1 and ca gt -1 , then the value of cot^(-1) ((ab+1)/(a-b) ) + cot^(-1) ((bc+1)/(b-c) ) + cot^(-1) ((ca+1)/( c-a)) is a) -1 b) cot^(-1) "" (a+b+c) c) cot^(-1) ("abc") d)0

Prove that tan^(-1)((a-b)/(1+ab))+ tan^(-1)((b-c)/(1+bc))+tan^(-1)((c-a)/(1+ca))=0 , ab>(-1), bc>(-1), ca>(-1)