If `tan(A/2)=sqrt((b-c)/(b+c)), /_B=`

In Delta ABC, if /_B=90^(@), prove that tan((A)/(2))=sqrt((b-c)/(b+c))

In any DeltaABC , prove that (i) tan""(B-C)/2=(b-c)/(b+c)cot""A/2 . (ii) If angleB=90^(@) , prove that tan(A/2)=sqrt(((b-c)/(b+c))) . (iii) If angleC=90^(@) , prove that tan((A−B)/2)/tan((A+B)/2)=(a-b)/(a+b) .

In DeltaABC , if /_C = 90^0 , then prove that tan (A/2) = sqrt((c-b)/(c+b)) = a/(b+c)

In Delta ABC, if /_C=90^(@), then prove that tan((A)/(2))=sqrt((c-b)/(c+b))=(a)/(b+c)

If tanA = sqrt(a((a + b + c))/(bc)) , tanB = sqrt(b((a + b + c))/(ca)) , tanC = sqrt(c((a + b + c))/(ab)) , then tan(A + B + C) equal :

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

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

The value of tan ^(-1) sqrt((a lambda)/(b c))+tan ^(-1) sqrt((b lambda)/(c a))+tan ^(-1) sqrt((c lambda)/(a b)) where a, b, c in R^(+) and lambda=a+b+c is equal to

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