Prove that in ` A B C ,tanA+tanB+tanCgeq3sqrt(3,)` where `A , B , C` are acute angles.

In Delta A B C , prove that t a n A+t a n B+t a n Cgeq3sqrt(3),w h e r eA ,B ,C are acute angles.

If tan(A+B)=sqrt(3) and sqrt(3)tan(A-B)=1 , find the angles A and B,where A and B are Acute Angles.

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).

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

In an acute-angled triangle ABC, tanA+tanB+tanC

If in a /_\ ABC, sum cos3A=1, then (A) /_\ ABC is a rilght angled triangle (B) /_\ABC is an obtuse angled triangle (C) /_\ABC is an acute angled triangle (D) In radius r of /_\ABC is either sqrt(3)(s+a)or sqrt(3)(s+b) or sqrt(3)(s+c)

Prove that: (tanA+tanB)/(tanA-tanB)=sin(A+B)/(sin(A-B)

Prove that the area of an equilateral triangle is equal to (sqrt(3))/4a^2, where a is the side of the triangle. GIVEN : An equilateral triangle A B C such that A B=B C=C A=a . TO PROVE : a r(triangle A B C)=(sqrt(3))/4a^2 . CONSTRUCTION : Draw A D_|_B C .

Statement-1 : If angles A, B, C of DeltaABC are acute, then cotA cotB cotCle(1)/(3sqrt(3)). Statement-2: If a, b, c are positive real numbers and -ltmlt1 , then (a^(m)+b^(m)+c^(m))/(3)lt((a+b+c)/(3))^(m)

If in a triangle ABC, tanA+tanB+tanC>0 the triangle is (A) acute angled triangle (B) obtuse angled (C) right angled (D) none of these