Question

Find all polar coordinates of point P where P =
(4.-pi/3.)

Answer 1

hint: all co-terminal points to \(\left( 4,-\frac{\pi }{3} \right)\)

Answer 2

is that right @jdoe0001

Answer 3

hmmm well
how would you get a 2nd coterminal point
how much would you go around to get a 2nd terminal point?

Answer 4

i really dunno

Answer 5

can you help me? @jdoe0001

Answer 6

well.... do you know what a coterminal point is?

Answer 7

yes

Answer 8

ok.. so... how many radians would you need to go around to get the 1st coterminal point?

Answer 9

in order to get a 2nd co-terminal point, you'd need to do a "full turn", or \(\large 2\pi\)
the "4" is just the length of the radius, so that stays steady, only thing is that, it could also be negative

so.... now, notice your choices

"n" stands for an integer, thus \(\large \begin{array}{llll}
coterminal&degrees
\\\hline\\
1&-\frac{\pi }{3}+2\pi\\
2&-\frac{\pi }{3}+4\pi\\
3&-\frac{\pi }{3}+6\pi\\
4&-\frac{\pi }{3}+8\pi\\
...&...
\end{array}\)

Answer 10

ohhhh, okay i think i get it! @jdoe0001

Answer 11

:)

Answer 12

thank you! @jdoe0001