Question

Find all polar coordinates of point P where P = ordered pair 5 comma negative pi divided by 6 .

Answer 1

Answer:

The correct option is B.

Step-by-step explanation:

If polar coordinates of point P are

$P=(r,\theta)$

Where, r is real number and θ is in radian, then all polar coordinates of point P are defined as

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

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

The given coordinates are $P(5,-\frac{\pi}{6})$. So, all polar coordinates of point P are

$P=(5,-\frac{\pi}{6}+2n\pi)$

$P=(-5,-\frac{\pi}{6}+(2n+1)\pi)$

Therefore correct option is B.