Question

Convert the polar equation to rectangular coordinates. (use variables x and y as needed. )

Answer 1

The rectangular coordinates will be (x=7cot(θ), y=7).

What are polar coordinates?

A pair of coordinates locating the position of a point in a plane, the first being the length of the straight line ( r ) connecting the point to the origin, and the second the angle ( θ ) made by this line with a fixed line.

We have the standard conversion toolbox:

$x=rcos(\theta)\\\\y=rsin(\theta)$

Here it is given that

$r=7cosec(\theta)$

so

$x=7cosec(\theta)\times cos(\theta)=\dfrac{7cos(\theta)}{sin(\theta )}=7cot(\theta)\\\\\\y=7cosec(\theta)\times sin(\theta)=\dfrac{7sin(\theta)}{sin(\theta)} = 7$

therefore the rectangular coordinates are (7cot(θ), 7)

To know more about polar coordinates follow

brainly.com/question/14965899

#SPJ4