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

Toán Lớp 11: Giải ptpt Cos(x-π/3)=cos(2x+π/6)

Toán Lớp 11: Giải ptpt
Cos(x-π/3)=cos(2x+π/6)

Comments ( 2 )

  1. cos(x-\frac{π}{3})=cos(2x+\frac{π}{6})
    ⇔ $\left [\begin{array}{l} x-\dfrac{\pi}{3}=2x+\dfrac{\pi}{6}+k2π \\ x-\dfrac{\pi}{3}=-2x-\dfrac{\pi}{6}+k2π \end{array} \right.$
    ⇔ $\left [\begin{array}{l} -x=\dfrac{\pi}{2}+k2π \\ 3x=\dfrac{\pi}{6}+k2π \end{array} \right.$
    ⇔ $\left [\begin{array}{l} x=-\dfrac{\pi}{2}-k2π \\ x=\dfrac{\pi}{18}+\dfrac{k2π}{3} \end{array} \right. \ (k∈\mathbb{Z})$

  2. Giải đáp
    Cos(x-π/3)=cos(2x+π/6)
     x-π/3=2x+π/6
    -x=π/2
    x=-π/2
    Lời giải và giải thích chi tiết:
     

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