Question

HELP!!!!!!!! PLease!!!!!!!Find all polar coordinates of point P where P = ordered pair 3 comma negative pi divided by 4.

Answer 1

All the polar coordinates of point P are
`P(3,2n\pi-(\pi)/(4))` and
`P(-3,(2n+1)\pi-(\pi)/(4))`, where, n is any integer and θ is in radian.

Explanation:

If polar coordinates of a point is defined as P(r,θ), then all the polar coordinates of that point are defined as

`P(r,\theta)=P(r,2n\pi+\theta)`

`P(r,\theta)=P(-r,(2n+1)\pi+\theta)`

Where, n is any integer and θ is in radian.

The given point is

`P(3,-(\pi)/(4))`

All the polar coordinates of point P are

`P(3,-(\pi)/(4))=P(3,2n\pi-(\pi)/(4))`

`P(3,-(\pi)/(4))=P(-3,(2n+1)\pi-(\pi)/(4))`

Where, n is any integer and θ is in radian.

Therefore all the polar coordinates of point P are
`P(3,2n\pi-(\pi)/(4))` and
`P(-3,(2n+1)\pi-(\pi)/(4))`, where, n is any integer and θ is in radian.

Answer 2

To answer this specific question, the all polar coordinates of point P are (3, -π/4 + 2nπ) and [ -3, -π/4 + (2n + 1)π ]. I am hoping that this answer has satisfied your query about and it will be able to help you, and if you’d like, feel free to ask another question.