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asinx+bcosx=p and acosx+bsinx=q,then (ap-bq)=?,I have attempted this question with various method but failed,please give detailed explanation?

asinx+bcosx=p and acosx+bsinx=q,then (ap-bq)=?,I have attempted this question with various method but failed,please give detailed explanation?

Grade:12th pass

1 Answers

Abhiram
18 Points
7 years ago
ap = a2sinx+ab cosx (multiplied both sides of p with a)
bq = ab cosx+b2sinx (multiplied both sides of q with b)
ap-bq= a2sinx+ab cosx-(ab cosx+b2sinx)
=> ap-bq= a2sinx-b2sinx= sinx(a2-b2)
 
 
 
 

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