# 4 sinx.cosx =âœ“3Find the value of x?â€‹

$\large \begin{array}{l} 4 \sin x \cos x=\sqrt{3} \\ \Rightarrow 2 \times 2 \sin x \cos x=\sqrt{3} \\ \Rightarrow 2 \sin x \cos x=\sqrt{3 / 2} \end{array}$

$\large \begin{array}{l} \sin 2 x=\sqrt{3} / 2 \\ \Rightarrow \sin 2 x=\sin 60^{\circ} \text { or } \sin 120^{\circ}\left(\operatorname{sincesin} 60^{\circ}=\sin 120^{\circ}=\sqrt{3 / 2}\right) \\ \Rightarrow 2 x=60^{\circ} \text { or } 120^{\circ} \\ \Rightarrow x=30^{\circ} \text { or } 60^{\circ} \end{array}$

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