Solving a Trigonometric Equation on an Interval

Find all solutions to the equation $\sin(x)=\frac{\sqrt{2}}{2}$ on the interval $[0,2\pi)$ .

$x=\frac{\pi}{4} \text{ or } x=\frac{3\pi}{4}$

$x=\frac{\pi}{4} \text{ or } x=\frac{7\pi}{4}$

$x=\frac{\pi}{4} \text{ or } x=\frac{5\pi}{4}$

$x=\frac{3\pi}{4} \text{ or } x=\frac{5\pi}{4}$

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