Question

Find the value of x if sin 2x =sin 60°× cos 60°-cos 60°×sin 30°​

Answer 1

$\sin(2x) = \sin(60) \times \cos(60) - \cos(60) \times \sin(60) \\ \sin(2x) = \frac{ \sqrt{3} }{2} \times \frac{1}{2} - \frac{1}{2} \times \frac{ \sqrt{3} }{2} \\ \sin(2x) = \frac{ \sqrt{3} }{4} - \frac{ \sqrt{3} }{4} \\ \sin(2x) = 0 \\ 2x = 0 \\ x = 0$

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