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Elena-2011 [213]
3 years ago
7

Convert y=9 from rectangular to polar form

Mathematics
2 answers:
Artist 52 [7]3 years ago
8 0

Answer:

r=9csc(\theta)

Step-by-step explanation:

To convert from polar coordinates to rectangular coordinates you must use the following equivalence equations

x=rcos(\theta)    i

y=rsin(\theta)    ii

In this case we have the following equation

y=9  So we use equation  ii

rsin(\theta)=9

r=\frac{9}{sin(\theta)}

Remember that csc(\theta)=\frac{1}{sin(\theta)}

So

r=9csc(\theta)

Crazy boy [7]3 years ago
5 0

Answer:

r = 9/sin Ф or r = 9 csc Ф

Step-by-step explanation:

The polar form is represented as:

x = r cos Ф and

y = r sin Ф

We are given:

y = 9

Putting value in y = r sin Ф

9 = r sin Ф

=> r = 9/sin Ф

1/sin Ф = csc Ф

or, r = 9 csc Ф

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