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

Toán Lớp 11: 2sin^2x+sinx-1=0 mn giúp mik vs

Toán Lớp 11: 2sin^2x+sinx-1=0 mn giúp mik vs

Comments ( 1 )

  1. $2\sin^2x+\sin x-1= 0$
    Đặt $t=\sin x \in [-1;1]$ ta có:
    $2t^2+t-1=0$
    $⇔ 2t^2+2t-t-1=0$
    $⇔ 2t(t+1)-(t+1)=0$
    $⇔ (2t-1)(t+1)=0$
    $⇔ t=\dfrac12$ hoặc $t=-1$
    $⇔ \sin x=\dfrac12$ hoặc $\sin x=-1$
    $⇔ x=\dfrac{5\pi}6 + k2\pi$ hoặc $x=-\dfrac \pi 2+k2\pi \ (k\in \mathbb{Z})$

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