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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