$ 2sin^{2}x + \sqrt{3}sin2x + 1 = 3(cosx + \sqrt{3}sinx)$
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Posted 07-10-2013 - 16:49
xxSneezixx
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$ 2sin^{2}x + \sqrt{3}sin2x + 1 = 3(cosx + \sqrt{3}sinx)$
Giải:
$2sin^{2}x + \sqrt{3}sin2x + 1 = 3(cosx + \sqrt{3}sinx)$
$-\cos\left(2x+\frac{\pi}{3} \right )+2 = 6\sin\left(x+\frac{\pi}{6} \right )$ $\left(1\right)$
Đặt $t = x+ \frac{\pi}{6}$
$\left(1\right) \Leftrightarrow -cos{2t}+2= 6\sin{t}$ $ \Leftrightarrow ...$
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