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

Toán Lớp 11: cos (x-pi/9)=1/2 xin hãy giúp em liền ạ

Toán Lớp 11: cos (x-pi/9)=1/2 xin hãy giúp em liền ạ

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    $\cos\left(x-\dfrac{\pi}9\right)=\dfrac{1}2\\⇔\cos\left(x-\dfrac{\pi}9\right)=\cos\left(\dfrac{\pi}3\right)\\⇔\begin{cases}x-\dfrac{\pi}{9}=\dfrac{\pi}{3}+k2\pi\\x-\dfrac{\pi}{9}=-\dfrac{\pi}{3}+k2\pi\end{cases}⇔ \begin{cases}x=\dfrac{4\pi}{9}+k2\pi\\x=-\dfrac{2\pi}{9}+k2\pi\end{cases} \\\left(k \in \mathbb Z\right)\\\mathscr{X_{\textit{in hay nhất}}}$

  2. cos(x-pi/9)=1/2
    ⇔cos(x-pi/9)=cos(pi/3)
    ⇔\(\left[ \begin{array}{l}x-\dfrac{\pi}{9}=\dfrac{\pi}{3}+k2\pi\\x-\dfrac{\pi}{9}=-\dfrac{\pi}{3}+k2\pi\end{array} \right.\) 
    ⇔\(\left[ \begin{array}{l}x=\dfrac{4\pi}{9}+k2\pi\\x=-\dfrac{2\pi}{9}+k2\pi\end{array} \right.\) $(k∈Z)$
     

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