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Please explain how to solve the image problem ...,.....)stepwise fully

Please explain how to solve the image problem ...,.....)stepwise fully 

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Grade:11

1 Answers

Samyak Jain
333 Points
4 years ago
We need to use here that  cosx + i sinx  =  e ix
So, (cosx + i sinx)(cosy + i siny) / (cotu + i)(1 + i tanv)   = 
  (cosx + i sinx)(cosy + i siny) / (cosu/sinu + i)(1 + i sinv/cosv)  = 
  sinu cosv (cosx + i sinx)(cosy + i siny) / (cosu + i sinu)(cosv + i sinv)  =
  sinu cosv e ix.e iy / e iu.e iv  =  sinu cosv e i(x + y – u – v)   = 
  sinu cosv [cos(x + y – u – v) + i sin(x = y – u – v) .

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