Question

The polar coordinates of a point are given. Find the rectangular coordinates of each point.


(5,(π / 4))
(-2,(π / 6))

Answer 1

Or instead of going the long way backwards...we can also know that

\[\large x = rcos(\theta)\]
and
\[\large y = rsin(\theta)\]

Answer 2

So for example with your first point up there

\[\large x = 5cos(\pi/4)\]
\[\large y = 5sin(\pi/4)\]

Answer 3

And I can do the same for the second equation @johnweldon1993

Answer 4

Correct indeed :)

Answer 5

so

\[x=-2(\cos(\pi/6)\]

Answer 6

I just deleted the first post I made so as not to confuse you...why go a long way when there are shortcuts! lol

And yes that is correct for your x-coordinate!

Answer 7

Thank you so much @johnweldon1993 !

Answer 8

Anytime!

Answer 9

@Johnweldon1993 is it weird that when I go to convert the first they come out to be the same point?

Answer 10

Not weird at all :P

Seeing as how \(\large sin(45) = cos(45)\) :)

Answer 11

Ah, thank you! All this polar stuff is just alsfjasflkajlfa!

@johnweldon1993

Answer 12

Lol it will come much easier dont worry :)

Actually polar is the easiest of the bunch...wait till you get to cylindrical and spherical

THOSE are the best ;) haha

Answer 13

So I'm off to go dig my shallow grave.

Answer 14

Lol well if you are in DE right now, you wont deal with them any if at all...Calc 3 is where that comes into play :)

So nope, stay above ground...for now :P lol no try and stay permanently lol :D