00:01
So to start off with, we know that point 1 is equal to r1 theta 1, which is our polar coordinates.
00:06
Point 2 is equal to r2 theta 2.
00:08
And we also know our distance formula is the score rate of x2 minus x1 squared plus y2 minus y1 squared.
00:14
So to start off with, we can replace these.
00:16
So we can say, well, this is also, we can rewrite this as x1, x1, y 1, and then x2, y2.
00:29
And so then we also know that x is equal to r cosine of theta y is equal to r sine the theta so we can rewrite these as we can rewrite this as let's see we have x1 equals to so be r1 cosine theta 1 r1 sine theta 1 and we have over here we have r2 cosine theta 2 r2 sine theta 2 and so now we can plug this into our distance formula so we have this is equal to the square root let's see we have x2 which is equal to r2 cosine theta 2 minus r1 cosine 3 1 squared plus r2 sine theta 2 minus r2 2 theta 1 squared and so now the next thing we can do is we can factor this all out so so it's square root for this all fit of r squared second one cosine squared theta 2 minus 2 r1 r2, cosine theta 2, cosine theta 1, plus r2, plus r2, plus r2, plus r2, 2, sin theta 2, sina theta times sine of theta 1...