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Moussaillon5946
@Moussaillon5946
May 2019
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Expression constante quelque soit x
sin carré x ( 3 - 2sin² x ) + cos carré x ( 3 - 2 cos² x)
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ProfdeMaths1
Verified answer
sin²(x) ( 3 - 2sin² x ) + cos²(x) ( 3 - 2 cos² x)
=3(cos²(x)+sin²(x))-2((sin²(x))²+(cos²(x))²)
=3*1-2*1/4(cos(4x)+3)
=3/2-1/2.cos(4x)
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Verified answer
sin²(x) ( 3 - 2sin² x ) + cos²(x) ( 3 - 2 cos² x)=3(cos²(x)+sin²(x))-2((sin²(x))²+(cos²(x))²)
=3*1-2*1/4(cos(4x)+3)
=3/2-1/2.cos(4x)