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The motion of a particle is defined by the following polar equation $r=\cos{\theta}+\sin{\theta}$. Which statement best describes the value of the $x$-coordinate of the particle when $\theta=\cfrac{\pi}{2}$?

The $x$-coordinate is increasing in value.

The $x$-coordinate is decreasing in value.

The $x$-coordinate is not changing.

Cannot be determined from the given information.