alleryStart learning →To factorise sinC − sinD, one uses
A2 sin((C+D)/2) cos((C−D)/2)
B2 sin((C+D)/2) sin((C−D)/2)
C2 cos((C+D)/2) cos((C−D)/2)
D2 cos((C+D)/2) sin((C−D)/2)
Answer & Solution
Correct answer: D. 2 cos((C+D)/2) sin((C−D)/2)
With C = A + B and D = A − B, sinC − sinD = 2 cosA sinB = 2 cos((C+D)/2) sin((C−D)/2).
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