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

Toán Lớp 11: Giải cos4x = cos2x Giúp mk gấp vs ạ

Toán Lớp 11: Giải cos4x = cos2x
Giúp mk gấp vs ạ

Comments ( 2 )

  1. cos4x = cos2x
    <=> [(4 x=2x+k2pi),(4 x=-2x+k2pi):}(kinZZ) 
    <=> [(2 x=k2pi),(6 x=k2pi):}(kinZZ) 
    <=> [(x=kpi),(x=[kpi]/3):}(kinZZ)
    Vậy S={kpi; [kpi]/3 | kinZZ}

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
     cos\ 4x=cos\ 2x
    ⇔ \(\left[ \begin{array}{l}4x=2x+k2\pi\ (k \in \mathbb{Z})\\4x=-2x+k2\pi\ (k \in \mathbb{Z})\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}2x=k2\pi\ (k \in \mathbb{Z})\\6x=k2\pi\ (k \in \mathbb{Z})\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}x=k\pi\ (k \in \mathbb{Z})\\x=k\dfrac{\pi}{3}\ (k \in \mathbb{Z})\end{array} \right.\) 
    Vậy S={k\pi\ (k \in \mathbb{Z});k\frac{\pi}{3}\ (k \in \mathbb{Z})}

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