If a,b,c are in HP, then prove that `sin ^(2) ""(A)/(2), sin ^(2) ""(B)/(2), sin ^(2) ""(C )/(2)` are also in HP.

If sides a,b,c of the triangle ABC are in A.P,then prove that sin^(2)((A)/(2))cos ec2A;sin^(2)((B)/(2))cos ec2B;sin^(2)((c)/(2))cos ec2c are in H.P.

In DeltaABC, if a,b,c are in H.P then "Sin"^(2)(A)/(2), "Sin"^(2)(B)/(2),"Sin"^(2)(C)/(2) are in

If A+B+C=(pi)/(2) , then prove that sin ^(2) A+ sin ^(2) B + sin ^(2) C=1-2 A sin B sin C .

If A,B, C are angles in a triangle, then prove that: sin^(2) A + sin^(2) B - sin^(2) C =2 sin A sin B cos C

If sin^(2).(A)/(2)+sin^(2).(B)/(2)+sin^(2).(C)/(2) are in H.P , show that a , b, c are in H. P

If a, b, c are in HP then prove that b^2(a-c)^2=2{c^2(b-a)^2+a^2(c-b)^2} .

If A+B+C=pi, " prove that sin"^(2) ""A/2+sin^(2) ""B/2+sin^(2) ""C/2=1-2 sin ""A/2 sin ""B/2 sin ""C/2

If A, B, C are angles of a triangle, then prove that sin^(2)""A/2+sin^(2)""B/2-sin^(2)""C/2=1-2cos""A/2cos""B/2sin""C/2 .

If the sides a ,b ,c of a triangleABC are in HP, prove that sin^2A/2,sin^2B/2,sin^2C/2 are in HP