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In DeltaABC, prove that: a) sinA+sinB+...

In `DeltaABC`, prove that:
a) `sinA+sinB+sinC=4cosA/2cosB/2cosC/2`
b) `sinA-sinB+sinC=4sinA/2cosB/2sinC/2`
c) `cosA+cosB-cosC=4cosA/2cosB/2sinC/2-1`

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