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

Toán Lớp 11: giải ptlg cos2x(tanx-1)=0 giúp em với ạ

Toán Lớp 11: giải ptlg cos2x(tanx-1)=0
giúp em với ạ

Comments ( 2 )

  1. cos2x(tanx-1)=0  (1)
    ĐK:  cosx\ne0⇔x\neπ/2+kπ
    (1)⇔ $\left[\begin{matrix} cos2x=0\\ tanx-1=0\end{matrix}\right.$
    ⇔ $\left[\begin{matrix} cos2x=0\\ tanx=1\end{matrix}\right.$
    ⇔ $\left[\begin{matrix} 2x=\dfrac{π}{2}+kπ\\ x=\dfrac{π}{4}+kπ\end{matrix}\right.$
    ⇔ $\left[\begin{matrix} x=\dfrac{π}{4}+k\dfrac{π}{2}\\ x=\dfrac{π}{4}+kπ\end{matrix}\right.(k∈Z)  (TM)$
     

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

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