Convert the rectangular equation to a polar equation y=5

Question

asked Nov 18, 2023 586 views

1 Answer

Tong · Answer 1 · 2023-11-22T19:42:14+0000

The rectangular equation is composed of variables like x and y which can be graphed on a regular Cartesian plane.

In our case, the coordinate is (0, 5) as:

$\begin{gathered} y=0* x+5 \\ y=5 \end{gathered}$

Polar equations are used to create interesting curves, and in most cases, they are periodic like sine waves. Usually, they can have the forms:

$x=r\cos\Theta$
$y=r\sin(\Theta)$
$\tan\Theta=(y)/(x)$

Then, in our case r = 1 and θ = 90º. Thus, the equation is:

$y=\sin(90\degree)$

Answer:

$y=\sin(90\operatorname{\degree})$