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

Toán Lớp 11: sin (2x/3 – π/3) = 0 (giải rõ 1 chút ạ, e c.ơn)

Toán Lớp 11: sin (2x/3 – π/3) = 0 (giải rõ 1 chút ạ, e c.ơn)

Comments ( 2 )

  1. $\begin{array}{l} \sin \left( {\dfrac{{2x}}{3} – \dfrac{\pi }{3}} \right) = 0\\  \Leftrightarrow \dfrac{{2x}}{3} – \dfrac{\pi }{3} = k\pi \\  \Leftrightarrow \dfrac{{2x}}{3} = \dfrac{\pi }{3} + k\pi \\  \Leftrightarrow 2x = \pi  + k3\pi \\  \Leftrightarrow x = \dfrac{\pi }{2} + \dfrac{{k3\pi }}{2}\left( {k \in \mathbb{Z}} \right) \end{array}$  

  2. xin ctlhn
    sin(2x/3 – π/3) = 0 = sinkπ (k thuộc ℤ)
    ⇒ 2x/3 – π/3 = kπ (k thuộc ℤ)
    ⇒ 2x/3 = π/3 + kπ (k thuộc ℤ)
    ⇒ x = π/2 + 3kπ/2 (k thuộc ℤ)

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

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