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

Toán Lớp 11: cos(2x)+cos(1-4x)=0 Giúp với ạ.

Toán Lớp 11: cos(2x)+cos(1-4x)=0
Giúp với ạ.

Comments ( 2 )

  1. Đáp án:
     
    Giải thích các bước giải:
     

    toan-lop-11-cos-2-cos-1-4-0-giup-voi-a

  2. $cos2x+cos(1-4x)=0$
    $⇔cos2x=-cos(1-4x)$
    $⇔cos2x=cos[\pi-(1-4x)]$
    $⇔cos2x=cos(\pi+4x-1)$
    $⇔$\(\left[ \begin{array}{l}2x=\pi+4x-1+k2\pi\\2x=-\pi-4x+1+k2\pi\end{array} \right.\) 
    $⇔$\(\left[ \begin{array}{l}-2x=\pi-1+k2\pi\\6x=-\pi+1+k2\pi\end{array} \right.\) 
    $⇔$\(\left[ \begin{array}{l}x=-\dfrac{\pi}{2}+\dfrac{1}{2}-k\pi\\x=-\dfrac{\pi}{6}+\dfrac{1}{6}+\dfrac{k\pi}{3}\end{array} \right.\) 

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