Question

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

Answer 1

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.

Answer 2

Answer:

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

Step-by-step 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

$P(3,-\frac{\pi}{4})$

All the polar coordinates of point P are

$P(3,-\frac{\pi}{4})=P(3,2n\pi-\frac{\pi}{4})$

$P(3,-\frac{\pi}{4})=P(-3,(2n+1)\pi-\frac{\pi}{4})$

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

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