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

Toán Lớp 11: Giúp mình với ạ a) sin ( x – π/2 ) = sin 2π/3 b ) sin (x-30°) = sin 20° C ) 2sinx = -1

Toán Lớp 11: Giúp mình với ạ
a) sin ( x – π/2 ) = sin 2π/3
b ) sin (x-30°) = sin 20°
C ) 2sinx = -1

Comments ( 2 )

  1. a) sin(x-\frac{π}{2})=sin\frac{2π}{3}
    ⇔ $\left [\begin{array}{l} x-\dfrac{π}{2}=\dfrac{2π}{3}+k2π \\ x-\dfrac{π}{2}=π-\dfrac{2π}{3}+k2π \end{array} \right.$
    ⇔ $\left [\begin{array}{l} x=\dfrac{7π}{6}+k2π \\ x=\dfrac{5π}{6}+k2π \end{array} \right. \ (k∈\mathbb{Z})$
    b) sin(x-30^o)=sin20^o
    ⇔ $\left [\begin{array}{l} x-30^o=20^o+k360^o \\ x-30^o=180^o-20^o+k360^o \end{array} \right.$
    ⇔ $\left [\begin{array}{l} x=50^o+k360^o \\ x=190^o+k360^o \end{array} \right. \ (k∈\mathbb{Z})$
    c) 2sinx=-1
    ⇔ sinx=-\frac{1}{2}
    ⇔ sinx=sin-\frac{π}{6}
    ⇔ $\left [\begin{array}{l} x=-\dfrac{\pi}{6}+k2π \\ x=\dfrac{7π}{6}+k2π \end{array} \right. \ (k∈\mathbb{Z})$

  2. Đáp án:
     
    Giải thích các bước giải:
     

    toan-lop-11-giup-minh-voi-a-a-sin-2-sin-2-3-b-sin-30-sin-20-c-2sin-1

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