[" Fring thirm for "],[qquad cot^(-1)(ab+1)/(a-b)+cot^(-1)(bc+1)/(b-c)+cot^(-1)(ca+1)/(c-a)=0]

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

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

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)) = 0

If cot^(-1)(1/a) + cot^(-1)(1/b) + cot^(-1)(1/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

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 .

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 the followings : "cot"^(-1)(ab+1)/(a-b)+"cot"^(-1)(bc+1)/(b-c)+"cos"^(-1)(ca+1)/(c-a)=pi(agtbgtc)

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