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Moussaillon5946
@Moussaillon5946
May 2019
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Bonsoir
Vérifier sin ( + b ) sin ( a - b ) = sin² a - sin ² b
Merci
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ProfdeMaths1
Verified answer
sin ( a + b ) sin ( a - b )
=-1/2(cos(a+b+a-b)-cos(a+b-a+b))
=-1/2(cos(2a)-cos(2b))
=-1/2(1-2sin²(a)-1+2sin²(b))
=1/2(2sin²(a)-2sin²(b))
=
sin² a - sin ² b
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Verified answer
sin ( a + b ) sin ( a - b )=-1/2(cos(a+b+a-b)-cos(a+b-a+b))
=-1/2(cos(2a)-cos(2b))
=-1/2(1-2sin²(a)-1+2sin²(b))
=1/2(2sin²(a)-2sin²(b))
= sin² a - sin ² b