Question

Another representation, in polar coordinates, of the point (3, 5pi/4) is ( ___, pi/4).

Answer 1

point in the 1st quadrant....

Answer 2

given point is at 3rd quadrant...

Answer 3

I don't get what to do with the 3. I get that 5pi/4 and pi/4 are similar in a certain way, but I'm still stuck here.

Answer 4

the radius is still 3, but this time the points are opposite to each other...

Answer 5

So are you implying that the 3 becomes a negative ?

Answer 6

no...it is the angle that makes them opposite....

Answer 7

in polar coordinates, radius r will always be positive... the angle provides direction in what quadrant the point falls...

Answer 8

So how do I find the new 'r" ?

Answer 9

The answer is -3 ! So somehow, I guess the r stays the same but the sign is different. right ?

Answer 10

The value of r in (r,theta) can be a negative..

Answer 11

got your point on that...