00:01
In this question, we want to convert a polar coordinates to cartesian coordinates for the point minus 3, pi over 5 over 6.
00:08
Firstly, i want to tell you that cartesian coordinates and rectangular coordinates are the same, and the book uses both of them.
00:15
And if we want to convert polar coordinates r and theta to rectangular coordinates x and y, the formula is x equal to r times cosine of theta, and y is called to r times sine of theta.
00:26
For the given point, r is equal to minus 3 and theta is equal to 5 over 6.
00:31
4 x is equal to minus 3 times cosine of pi over 6, which is equal to minus 3 times sq root of 3 over 2.
00:38
And y is equal to minus 3 times sine of pi over 6, which is equal to minus 3 over 2.
00:44
Let's plush this point.
00:47
Ok, so let's, by this that we have found, direct angular coordinates for the given point is equal to this point...