Graphometry

Geometry Level 1

{y=sin(x)y=cos(x)y=tan(x)y=csc(x) \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=0x = 0 to x=π2x = \frac \pi2 .

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

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