# What is the distance between the following polar coordinates?:  (3,(17pi)/12), (5,(7pi)/8)

Jul 8, 2016

6.15549

#### Explanation:

cos 17pi/12 = cos 255=-0.2588

sin 17pi/12= sin 255 =-0.9659

In cartesean coordinates the first point would be $\left(3 \cos 17 \frac{\pi}{12} , 3 \sin 17 \frac{\pi}{12}\right)$ Or,(-0.77645, -2.89777)

Second point would be $\left(5 \cos 7 \frac{\pi}{8} , 5 \sin 7 \frac{\pi}{8}\right)$,

Or, (-4.6194,1.9134)

Apply distance formula to get the distance= 6.15549.

Less laborious method would be