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

Toán Lớp 11: 2sin(2x+π/4)=1– giúp mình với

Toán Lớp 11: 2sin(2x+π/4)=1…….. giúp mình với

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
     2sin\ (2x+\frac{\pi}{4})=1
    ⇔ sin\ (2x+\frac{\pi}{4})=1/2
    ⇔ sin\ (2x+\frac{\pi}{4})=sin\ \frac{\pi}{6}
    ⇔ \(\left[ \begin{array}{l}2x+\dfrac{\pi}{4}=\dfrac{\pi}{6}+k2\pi\ (k \in \mathbb{Z})\\2x+\dfrac{\pi}{4}=\pi-\dfrac{\pi}{6}+k2\pi\ (k \in \mathbb{Z})\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}2x=-\dfrac{\pi}{12}+k2\pi\ (k \in \mathbb{Z})\\2x=\dfrac{7\pi}{12}+k2\pi\ (k \in \mathbb{Z})\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}x=-\dfrac{\pi}{24}+k\pi\ (k \in \mathbb{Z})\\x=\dfrac{7\pi}{24}+k\pi\ (k \in \mathbb{Z})\end{array} \right.\) 

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

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