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)`

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

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

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

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

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

If a

Let a, b and c be positive real numbers. Then prove that tan^(-1) sqrt((a(a + b + c))/(bc)) + tan^(-1) sqrt((b (a + b + c))/(ca)) + tan^(-1) sqrt((c(a + b+ c))/(ab)) = pi

Prove that : tan^(-1) a - tan^(-1) b = cos ^(-1) [(1+ab)/(sqrt((1+a^(2))(1+b^(2))))]