please answer this question
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Answer:
sinC - sinD = 2cos(C+D/2)*sin(C-D/2)
Step-by-step explanation:
sin3A + sin2A - sinA
(sinC + sinD = 2sin(C+D/2)*cos(C-D/2))
(sin3A + sin2A) - sinA
=2 sin(5A/2)*cos(A/2) - 2sinA/2*cosA/2
=2 cos(A/2) (sin(5A/2) - sin(A/2))
= 2 cos(A/2)(2 cos(3A/2)*sinA)
= 4 sinA*cos(A/2)*cos(3A/2)
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