Question

The Cartesian equation, y = 4, is equivalent to the polar equationr = √4/sinθr^2 = 4 sin θr = 4/sinθ

Answer 1

SOLUTION:

Step 1 :

In this question,

we are given that the Cartesian equation, y = 4,

is equivalent to the polar equation .........

Step 2 :

Recall that:

$\begin{gathered} y\text{ = r sin}\theta\text{ } \\ \text{Then, we are given that:} \\ \text{y = 4, then we have that:} \\ 4\text{ = r sin }\theta \\ \text{Then,} \\ r\text{ = }\frac{4}{\sin \text{ }\theta} \end{gathered}$

CONCLUSION:

The final answer is:

$\text{r = }\frac{4}{\sin \text{ }\theta}$