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Whitepunk [10]
3 years ago
12

Find all polar coordinates of point P = (2,14°)

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0

Answer:

(2,14^{\circ}+360^{\circ}n)\text{ and }(-2,194^{\circ} +360^{\circ}n).

Step-by-step explanation:

If a point is P=(r,\theta), the all polar coordinates are defined as

In radian : (r,\theta +2n\pi)\text{ and }(-r,\theta +(2n+1)\pi)

In degree : (r,\theta +360^{\circ}n)\text{ and }(-r,\theta +(2n+1)180^{\circ})

where, n is any integer.

The given point is

P=(2,14^{\circ})

So, all polar coordinates are  

(2,14^{\circ}+360^{\circ}n)\text{ and }(-2,14^{\circ} +(2n+1)180^{\circ})

(2,14^{\circ}+360^{\circ}n)\text{ and }(-2,14^{\circ} +360^{\circ}n+180^{\circ})

(2,14^{\circ}+360^{\circ}n)\text{ and }(-2,194^{\circ} +360^{\circ}n)

Therefore, the required polar coordinates are (2,14^{\circ}+360^{\circ}n)\text{ and }(-2,194^{\circ} +360^{\circ}n), where n is any integer.

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