# What is the distance between the following polar coordinates?: # (2,(pi)/4), (3,(13pi)/8) #

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To find the distance between two polar coordinates, you can use the formula:

[ d = \sqrt{r_1^2 + r_2^2 - 2r_1r_2\cos(\theta_2 - \theta_1)} ]

Where ( r_1 ) and ( r_2 ) are the magnitudes (or lengths) of the polar coordinates, and ( \theta_1 ) and ( \theta_2 ) are the angles.

For the given polar coordinates:

- ( r_1 = 2 )
- ( r_2 = 3 )
- ( \theta_1 = \frac{\pi}{4} )
- ( \theta_2 = \frac{13\pi}{8} )

Plug these values into the formula to find the distance.

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