Math, asked by sivakv1999, 5 months ago

sin (A + B) cos (A - B) + cos (A + B). sin (A - B) =​

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Answered by MRROW
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Answered by anannyashaw799
1

Answer:

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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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