In a triangle ABC, prove that the ratio of the area of the incircle to that of the triangle is `pi:cot(A/2) cot(B/2) cot(C/2)`

In a triangle ABC if b+c=3a then find the value of cot(B/2)cot(C/2)

If three sides a,b,c of a triangle ABC are in arithmetic progression, then the value of cot(A/2), cot(B/2), cot(C/2) are in

In a DeltaABC, prove that: 2r le (a cot A+ b cot B+ c cot C)/(3)leR

Show that in any triangle ABC, (a+b+c) (tan (A/2) + tan (B/2)) = 2c cot (C/2)

In a triangle ABC , if 3a = b + c , then cot B/2 cot C/2 =

In a triangle ABC, prove that (a) cos(A + B) + cos C = 0 (b) tan( (A+B)/2)= cot(C/ 2)

If x , ya n dz are the distances of incenter from the vertices of the triangle A B C , respectively, then prove that (a b c)/(x y z)=cot(A/2)cot(B/2)cot(C/2)

Consider a triangle ABC, where c,y,z are the length of perpendicular drawn from the vertices of the triangle to the opposite sides a,b, c respectively. Let the letters R,r S,Delta denote the circumradius, inradius semi-perimeter and area of the triangle respectively. If cot A+cot B+ cot C= k ((1)/(x^(2))+ (1)/(y^(2))+(1)/(z^(2))), then the value of k is

In a triangle ABC prove that r_1r_2r_3=r^3 cot^2 (A/2). cot^2 (B/2).cot^2(C/2)

In any Delta ABC, prove the following : r_1=rcot(B/2)cot(C/2)