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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 11: Chứng minh sin3x=2sin3x/2.cos3x/2 Giúp mk vs ạ

Toán Lớp 11: Chứng minh sin3x=2sin3x/2.cos3x/2
Giúp mk vs ạ

Comments ( 2 )

  1. Áp dụng công thức nhân đôi $\sin2x=2\sin x\cos x$
    Chứng minh:
    $\sin 2x = \sin \left( {x + x} \right) = \sin x\cos x + \sin x\cos x = 2\sin x\cos x$
    $\sin 3x = \sin \left( {2.\dfrac{{3x}}{2}} \right) = 2\sin \dfrac{{3x}}{2}\cos \dfrac{{3x}}{2}$
     

  2. 2sin((3x)/2)*cos((3x)/2)
    =2*1/2[sin((3x)/2+(3x)/2)-sin((3x)/2-(3x)/2)]
    = sin3x-sin0
    =sin3x
    ĐPCM
     

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222-9+11+12:2*14+14 = ? ( )

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