In `triangleABC` if `2c cos^2(A/2)+2acos^2(C/2)-3b=0` prove that a, b, c are in A.P.

In a Delta ABC, c cos ^(2)""(A)/(2) + a cos ^(2) ""(C ) /(2)=(3b)/(2), then a,b,c are in

If a(1/b+1/c),b(1/c+1/a),c(1/a+1/b) are in A.P., prove that a,b,c are in A.P.

In DeltaABC,(sinA)/(sinC)=(sin(A-B))/(sin(B-C)) then prove that a^(2),b^(2),c^(2) are in A.P.

If a, b, c, d and p are different real numbers such that (a^2 + b^2 + c^2)p^2 – 2(ab + bc + cd) p + (b^2 + c^2 + d^2) le 0 , then show that a, b, c and d are in GP.

if a,b, c, d and p are distinct real number such that (a^(2) + b^(2) + c^(2))p^(2) - 2p (ab + bc + cd) + (b^(2) + c^(2) + d^(2)) lt= 0 then a, b, c, d are in

For any triangle ABC, prove that : (b+c)cos((B+C)/(2))=acos((B-C)/(2))

ABC is a triangle such that sin(2A+B)=sin(C-A)=-sin(B+2C)=1/2 . If A,B, and C are in AP. then the value of A,B and C are:

In a A B C , if tan(A/2),tan(B/2),tan(C/2) are in AP, then show that cosA ,cosB ,cosC are in AdotPdot

Prove that in any DeltaABC,cos A=(b^(2)+c^(2)-a^(2))/(2bc) where a, b and c are the magnitudes of the sides opposite to the vertices A, B and C respectively.

If a^(2) + 2bc, b^(2) + 2ac, c^(2) + 2ab are in A.P then prove that (1)/(b-c), (1)/(c-a) and (1)/(a-b) are in A.P.