Graphometry

Geometry Level 1

$\large \begin{cases}{y=\sin (x)} \\ {y=\cos (x)} \\ {y=\tan (x)} \\ {y=\csc (x)}\end{cases}$

The four graphs above are drawn on the same axes from $$x = 0$$ to $$x = \frac \pi2$$.

If a vertical line is drawn where the graphs of $$y=\cos (x)$$ and $$y = \tan (x)$$ intersect, this line intersects the graphs of $$y=\sin(x)$$ and $$y=\csc(x)$$ at points $$A$$ and $$B$$. What is the distance between $$A$$ and $$B$$?

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