If A+B+C=180°,prove that Sin2A + Sin2B - Sin2C = 4 COSA COSB.SinC
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When the humid shadows hover (repetition of h sound). Overall the starry spheres (repetition of s sound). Press the pillow (repetition p sound). Cottage chamber bed
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Solution :-
A+B+C=180
LHS=sin
2A+sin2B+sin2C=2sin
(A+B)cos(A−B)+2sinCcosC=2sin
Ccos(A−B)+2sinCcosC=2sinC(cos(A−B)
+cosC)=2sinC(cos(A−B)
−cos(A+B))=2sinC2sin
AsinB=4sinAsinBsinC=RHS
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