ahenley9898 ahenley9898
  • 11-05-2017
  • Mathematics
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Verify the identity secx-secx sin^2x=cosx

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ghanami
ghanami ghanami
  • 11-05-2017
hello :
   *  secx = 1/cosx
 cos²x+sin²x= 1
**sin²x = 1-cos²x
by (*) : 
secx-secx sin²x=(1/cosx) -(1/cosx) sin²x
                        = (1/cosx)(1-  sin²x)....factory :(1/cosx)
by(**)
                      secx-secx sin²x  =  (1/cosx)cos²x
                      secx-secx sin²x  = cosx ...( simplify by : cosx)
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