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mars1129 [50]
4 years ago
15

Question 6 (Essay Worth 2 points) Find all polar coordinates of point P = (2, 14°).

Mathematics
1 answer:
andrey2020 [161]4 years ago
4 0

Answer:

(2,14°+360n) and (-2,14°+(2n+1)180°)

Step-by-step 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°).

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<em>Comment on the answer choices</em>

Often, you can eliminate a number of the choices in a multiple-choice question just by testing whether they are reasonable. Here, the longer part of a line segment has length 38, so the whole segment will not be shorter than that. The choices 19 and 25.5 make no sense.

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