Is the graph plot of y-axis $= \cos(x)$ and x-axis $= \sin(x)$ a circle?

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I'm interested in knowing how would the graph plot of Y-axis $= \cos(x)$ and X-axis $= \sin(x)$ might look like. Will it form a circle ?

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They should be $Y=\cos t, X=\sin t$, then by squaring and adding you get $X^2+Y^2=1,$ which is a circle. Use $t$ in place of $x$, it may comfuse one.