If a,b,c are in HP, then prove that sin ...

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.

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The correct Answer is:

`=(ab)/((s-a)(s-b))+(bc)/((s-b)(s-c))=RHS`

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