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

Toán Lớp 11: Sinx+√3 cosx=2sin5x Giải hộ em với ạ

Toán Lớp 11: Sinx+√3 cosx=2sin5x
Giải hộ em với ạ

Comments ( 1 )

  1. $\sin x+\sqrt3\cos x=2\sin5x$ $\to 2\sin\left( x+\dfrac{\pi}{3}\right)=2\sin5x$ $\to \sin5x=\sin\left( x+\dfrac{\pi}{3}\right)$ $\to \left[ \begin{array}{l}5x=x+\dfrac{\pi}{3}+k2\pi\\ 5x=\pi-x-\dfrac{\pi}{3}+k2\pi\end{array} \right.$ $\to \left[ \begin{array}{l}x=\dfrac{\pi}{12}+\dfrac{k\pi}{2}\\x=\dfrac{\pi}{9}+\dfrac{k\pi}{3}\end{array} \right.$ 

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