If in a `Delta ABC`, `cot A + cot B + cot C = sqrt(3)` . Prove that triangle is equilateral

In a DeltaABC , 2 Delta (cot B + cot C)=

If in a triangle ABC, cos A +cos B+cos C=3/2 , prove that the triangle is equilateral.

In a triangle ABC sin (A/2) sin (B/2) sin (C/2) = 1/8 prove that the triangle is equilateral

In Delta ABC, "cot"(A)/(2) + "cot" (B)/(2) + "cot" (C)/(2) is equal to

In Delta ABC , if a = 10 and b cot B + c cot C = 2(r + R) then the maximum area of DeltaABC will be

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

If tan^3A+tan^3B+tan^3C=3tanA* tanB*tanC , then prove that triangle ABC is an equilateral triangle.

In any Delta ABC , cot(A/2),cot(B/2),cot(C/2) are in A.P. , then

In any Delta ABC , If cot ""A/2 , cot ""B/2 ,cot ""C/2 are in AP, then a,b,c are in (A) A.P, (b)G.P., (c)H.P., (d)NONE OF THESE

Prove that : (cot A + tan B)/ (cot B + tan A) = cot A tan B