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Problem 924

Find all angles on \(\left[0^{\circ}, 360^{\circ}\right)\) which satisfy $\sin 2 \mathrm{x}-\sqrt{2}\( \)\sin \mathrm{x}=0$

Expert verified

The angles that satisfy the equation \(\sin 2x - \sqrt{2} \sin x = 0\) in the domain \([0^{\circ}, 360^{\circ})\) are \(x = 0^{\circ}\), \(45^{\circ}\), \(180^{\circ}\), and \(315^{\circ}\).

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