If in a triangleABC show that :
(i) tanA+tanB+tanC =tanAtanBtanC.

Prove that a triangle A B C is equilateral if and only if tanA+tanB+tanC=3sqrt(3)dot

Column I Column II In A B C , if cos24+cos2B+cos2C=-1 then we can conclude that triangle is p. Equilateral triangle In A B C if tanA >0,tanB >0a n dtanAtanB 0,cotB >0a n dcotAcotB<1, then triangle is s. Obtuse angled triangle

In triangle A B C ,tanA+tanB+tanC=6a n dtanAtanB=2, then the values of tanA ,tanB ,tanC are, respectively (a) 1,2,3 (b) 3,2//3,7//3 (c) 4,1//2 ,3//2 (d) none of these

Prove that there exist exactly two non-similar isosceles triangles A B C such that tanA+tanB+tanC=100.

In a right angled triangle, acute angle A and B satisfy tanA+tanB+tan^2A+tan^2B+tan^3A+tan^3B=70. Find the angle A and B in radians.

If A+B+C=pi, prove that (tanA)/(tanBdottanC)+(tanB)/(tanAdott a n C)+(tanC)/(tanAdottanB)=tanA+tanB+tanC-2cot A-2cot B-2cot C

Let A,B,C, be three angles such that A=pi/4 and tanB tanC=pdot Find all possible values of p such that A , B ,C are the angles of a triangle.

Let A,B,C, be three angles such that A=pi/4 and tanB tanC=pdot Find all possible values of p such that A , B ,C are the angles of a triangle.

If angle C of triangle ABC is 90^0, then prove that tanA+tanB=(c^2)/(a b) (where, a , b , c , are sides opposite to angles A , B , C , respectively).

If A (veca).B(vecb) and C(vecc) are three non-collinear point and origin does not lie in the plane of the points A, B and C, then for any point P(vecP) in the plane of the triangleABC such that vector vec(OP) is bot to plane of trianglABC , show that vec(OP)=([vecavecbvecc] (vecaxxvecb+vecbxxvecc+veccxxveca))/(4Delta^(2))