Question

Convert y=9 from rectangular to polar form

Answer 1

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

$r=9csc(\theta)$

Answer 2

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