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asinx+bcosx=p and acosx+bsinx=q,then (ap-bq)=?,please give detailed explanation?

asinx+bcosx=p and acosx+bsinx=q,then (ap-bq)=?,please give detailed explanation?

Grade:12th pass

1 Answers

Devika Shet
38 Points
7 years ago
(ap-bq)=a(asinx+bcosx)-b(acosx+bcosx)                    [by sustituting the values of p and q]
          =a2sinx+abcosx-(abcosx+b2sinx)
          =a2sinx+abcosx-abcosx-b2sinx
          =a2sinx-b2sinx
          =(a2-b2)sinx
         

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