Cos25°.cos65°-sin65°.cos65°
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Note:
CosA *CosB -SinA *SinB , and, CosA =Sin(90-A), so Cos(65)=Sin(90-65) =Sin25,
Therefore,
Cos25 *Cos65 -Sin65 *Cos65=Cos25 *Cos65 -Sin65 *Sin(90-65)
=Cos25*Cos65 -Sin25 *Sin65= Cos(25+65)=Cos90=0,
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