Mathematics

11th

grade

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тригонометрия

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16 questions

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  • 1. Multiple Choice
    3 minutes
    1 pt

      tgx3\ tgx\le\sqrt{3}  

     [π3+πn;π2+πn]\left[\frac{\pi}{3}+\pi n;\frac{\pi}{2}+\pi n\right]  

     [π3+πn;π2+πn)\left[\frac{\pi}{3}+\pi n;\frac{\pi}{2}+\pi n\right)  

     [π2+πn;π3+πn)\left[-\frac{\pi}{2}+\pi n;\frac{\pi}{3}+\pi n\right)  

     (π2+πn;π3+πn]\left(-\frac{\pi}{2}+\pi n;\frac{\pi}{3}+\pi n\right]  

  • 2. Multiple Choice
    2 minutes
    1 pt

     sin3x12\sin3x\ge\frac{1}{\sqrt{2}}  

     [π12+2πn3;π4+2πn3;]\left[\frac{\pi}{12}+\frac{2\pi n}{3};\frac{\pi}{4}+\frac{2\pi n}{3};\right]  

     [π4+2πn;3π4+2πn;]\left[\frac{\pi}{4}+2\pi n;\frac{3\pi}{4}+2\pi n;\right]  

     [π12+2πn;π4+2πn;]\left[-\frac{\pi}{12}+2\pi n;\frac{\pi}{4}+2\pi n;\right]  

     [3π4+6πn;π4+6πn;]\left[\frac{3\pi}{4}+6\pi n;\frac{\pi}{4}+6\pi n;\right]  

  • 3. Multiple Choice
    3 minutes
    1 pt

     cos2x>32\cos2x>-\frac{\sqrt{3}}{2}  

     (5π12+2πn2;5π4+2πn2;)\left(-\frac{5\pi}{12}+\frac{2\pi n}{2};\frac{5\pi}{4}+\frac{2\pi n}{2};\right)  

     (5π12+2πn2;5π12+2πn2;)\left(-\frac{5\pi}{12}+\frac{2\pi n}{2};\frac{5\pi}{12}+\frac{2\pi n}{2};\right)  

     (π12+2πn;π4+2πn;)\left(-\frac{\pi}{12}+2\pi n;\frac{\pi}{4}+2\pi n;\right)  

     (2π3+2πn2;2π3+2πn2;)\left(-\frac{2\pi}{3}+\frac{2\pi n}{2};\frac{2\pi}{3}+\frac{2\pi n}{2};\right)  

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