Question

Find the rectangular coordinates of the point with the polar coordinates (7, 2pi/3)

Answer 1

These are the options

Answer 2

In this case

r = 7
theta = 2pi/3

plug those values into these formulas

x = r*cos(theta)
y = r*sin(theta)

to find the values of x and y

Answer 3

(-3.5, 6.062)?

Answer 4

@jim_thompson5910

Answer 5

leave it as a fraction though

Answer 6

and if there are any radicals, leave it in radical form

Answer 7

(-7/2, 7 sq rt 3/2)

Answer 8

correct

Answer 9

Do you mind helping with one more?

Answer 10

sure

Answer 11

Find all polar coordinates of point P where P = (1, pi/3)

Answer 12

how far did you get with this one?

Answer 13

I wasn't really sure where to start.

Answer 14

These were the options

Answer 15

let's start by plotting (r,theta) = (1,pi/3)

Answer 16

theta = pi/3 means the angle is 60 degrees

Answer 17

we would start at (0,0) and move 1 unit along that line, in that direction to arrive at point P