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

Toán Lớp 11: cos(3x-20°)=-cosx giúp mình vs ạ!

Toán Lớp 11: cos(3x-20°)=-cosx giúp mình vs ạ!

Comments ( 2 )

  1. Giải đáp:
    $\left[\begin{array}{l} x=100^\circ+ k 180^\circ(k \in \mathbb{Z})\\ x=-40^\circ+ k 90^\circ(k \in \mathbb{Z})\end{array} \right.$
    Lời giải và giải thích chi tiết:
    $\cos(3x-20^\circ)=-\cos x\\ \Leftrightarrow \cos(3x-20^\circ)=\cos( x+180^\circ)\\ \Leftrightarrow  \left[\begin{array}{l} 3x-20^\circ= x+180^\circ+ k 360^\circ(k \in \mathbb{Z})\\ 3x-20^\circ=- x-180^\circ+ k 360^\circ(k \in \mathbb{Z})\end{array} \right.\\ \Leftrightarrow  \left[\begin{array}{l} 2x=200^\circ+ k 360^\circ(k \in \mathbb{Z})\\ 4x=-160^\circ+ k 360^\circ(k \in \mathbb{Z})\end{array} \right.\\ \Leftrightarrow  \left[\begin{array}{l} x=100^\circ+ k 180^\circ(k \in \mathbb{Z})\\ x=-40^\circ+ k 90^\circ(k \in \mathbb{Z})\end{array} \right.$

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