sin (A + B) cos (A - B) + cos (A + B). sin (A - B) =
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Step-by-step explanation:
= Sin (A+B) Cos(A-B)+cos(A+B) Sin(A-B)
= Sin (A+B) Cos(90°-(A+B))+Cos(A+B) Sin(90°-(A+B))
= Sin(A+B) Sin(A+B)+Cos(A+B) Cos(A+B)
= Sin²(A+B)+Cos²(A+B)
=1 [because:sin²theta+cos²theta=1]
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