# What is the distance between the following polar coordinates?: # (3,(-15pi)/12), (5,(-3pi)/8) #

##### 1 Answer

#### Explanation:

Polar coordinates are written as

If we plot

We know the length of two of the sides of the triangle, since the

If the result was larger than

Finally, we know from trigonometry that if we know two sides and the angle in between, we can calculate the length of the other side using the Law of Cosines:

we can use this law to arrive at an equation for the distance between two polar points,

or in this case,

p.s. note the lack of absolute value signs in the final equation. That's because