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`

If a,b,c be positive real numbers and the value of theta=tan^(-1)sqrt((a(a+b+c))/(bc))+tan^(-1)sqrt((b(a+b+c))/(ca))+tan^(-1)sqrt((c(a+b+a))/((ab))) then tan theta is equal to

If a,b,c>0 and s=(a+b+c)/(2), prove thattan^(-1)sqrt((2as)/(bc))+tan^(-1)sqrt((2bs)/(ca))+tan^(-1)sqrt((2cs)/(ab))=pi

If a,b,c are real positive numbers and theta =tan^(-1)[(a(a+b+c))/(bc)]^(1/2)+tan^(-1)[(b(a+b+c))/(ca)]^(1/2)+tan^(-1)[(c(a+b+c))/(ab)]^(1/2) , then tantheta equals

If a,b,c are positive real numbers,then sqrt(a^(-1)b)x sqrt(b^(-1)c)x sqrt(c^(-1)a) is equal to: 1 (b) abc(c)sqrt(abc)(d)(1)/(abc)

If in triangle ABC, C = 90^circ then prove that tan^(-1) (a/(c+b)) + tan^(-1) (b/(a+c)) = pi/4 .

If a, b and c are distinct positive real numbers and a^2 + b^2 + c^2 = 1, then ab + bc + ca is