APFIVE Solving a Trigonometric Equation on an Interval
Find all solutions to the equation $$\sin(x)=\frac{\sqrt{2}}{2}$$ on the interval $$[0,2\pi)$$.
A
$$x=\frac{\pi}{4} \text{ or } x=\frac{7\pi}{4}$$
B
$$x=\frac{\pi}{4} \text{ or } x=\frac{3\pi}{4}$$
C
$$x=\frac{\pi}{4} \text{ or } x=\frac{5\pi}{4}$$
D
$$x=\frac{3\pi}{4} \text{ or } x=\frac{5\pi}{4}$$
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