219k views
5 votes
PLEASE ANSWER ASAP

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

Please show full work! Thank you!

User Raurora
by
7.5k points

1 Answer

6 votes

Answer:

(2,14°+360n) and (-2,14°+(2n+1)180°)

Explanation:

You start out with (2, 14°)

The polar coordinate can be written as (r, 0) = (r, 0+2nπ) or

(r,0)=(-r,0+2(n=1)π), where n is any integer.

The polar coordinates point : p=(r,0) = (2,14°)

For the positive value of r, the polar coordinate can be written as

p=(2,14°) = (2,14°+360n°), where n is any integer.

For the negative value of r , the polar coordinate can be written as

p=(2,14°) = (-2,14°+(2n+1)180°), where n is any integer.

All the polar coordinates of point P are(2,14°+360n) and (-2,14°+(2n+1)180°).

User Vikranth
by
8.8k points