The curve $(\cos(\sin x),\sin(\cos x))$ as plotted by Wolfram Alpha

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I've just gotten this from Wolfram Alpha:

enter image description here

It makes no sense to me. $\cos(\sin x)$ is never zero so how can this curve cross the $y$-axis?

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It doesn't cross the y axis. Look closely at the tick marks on the x-axis, and you will see that the axes in the picture do not meet at the origin.