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Tsurugis
@Tsurugis
May 2019
1
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Svp veuillez m'aider sur cet exo
demontrer que:
=0
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ProfdeMaths1
Verified answer
Cos(a)+cos(b)=2cos((a+b)/2).cos((a-b)/2)
donc :
cos(π/10)+cos(9π/10))=2cos(π/2).cos(2π/5)=0
et :
cos(6π/10)+cos(4π/10))=2cos(π/2).cos(π/10)=0
donc :
cos(π/10)+cos(9π/10))+cos(6π/10)+cos(4π/10))=
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Verified answer
Cos(a)+cos(b)=2cos((a+b)/2).cos((a-b)/2)donc :
cos(π/10)+cos(9π/10))=2cos(π/2).cos(2π/5)=0
et :
cos(6π/10)+cos(4π/10))=2cos(π/2).cos(π/10)=0
donc :
cos(π/10)+cos(9π/10))+cos(6π/10)+cos(4π/10))=0