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

Toán Lớp 11: giúp vs 3tan(-2x – π/6 ) = √3

Toán Lớp 11: giúp vs

3tan(-2x – π/6 ) = √3

Comments ( 2 )

  1. ~rai~
    \(3\tan\left(-2x-\dfrac{\pi}{6}\right)=\sqrt{3}\quad(1)\\ĐKXĐ:\cos\left(-2x-\dfrac{\pi}{6}\right)\ne 0\\\Leftrightarrow -2x-\dfrac{\pi}{6}\ne\dfrac{\pi}{2}+k\pi\\\Leftrightarrow -2x\ne \dfrac{2\pi}{3}+k\pi\\\Leftrightarrow x\ne-\dfrac{\pi}{3}-k\dfrac{\pi}{2}.(k\in\mathbb{Z})\\(1)\Leftrightarrow \tan\left(-2x-\dfrac{\pi}{6}\right)=\dfrac{\sqrt{3}}{3}\\\Leftrightarrow -2x-\dfrac{\pi}{6}=\dfrac{\pi}{6}+k\pi\\\Leftrightarrow 2x=-\dfrac{\pi}{3}-k\pi\\\Leftrightarrow x=-\dfrac{\pi}{6}-k\dfrac{\pi}{2}.(k\in\mathbb{Z})\\\text{Vậy phương trình có họ nghiệm là x=}-\dfrac{\pi}{6}-k\dfrac{\pi}{2}.(k\in\mathbb{Z})\)

  2. ●Giải đáp: bạn xem trên hình nha
     

    toan-lop-11-giup-vs-3tan-2-6-3

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