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

Toán Lớp 11: giải các phương trình sau: 3/cos ²x+2 √3 tanx-6=0

Toán Lớp 11: giải các phương trình sau: 3/cos ²x+2 √3 tanx-6=0

Comments ( 1 )

  1. 3/(cos^2x)+2sqrt[3]tanx-6=0
    ⇔3(1+tan^2x)+2sqrt[3]tanx-6=0
    ⇔3tan^2x+2sqrt[3]tanx-3=0
    ⇔\(\left[ \begin{array}{l}tanx=-\sqrt[]{3}=tan\bigg(\dfrac{-\pi}{3}\bigg)\\tanx=\dfrac{\sqrt[]{3}}{3}=tan\bigg(\dfrac{\pi}{6}\bigg)\end{array} \right.\) 
    ⇔\(\left[ \begin{array}{l}x=\dfrac{-\pi}{3}+k\pi\\x=\dfrac{\pi}{6}+k\pi\end{array} \right.\) $(k∈Z)$
     

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

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