Answered

Find answers to your questions faster and easier with IDNLearn.com. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

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

Sagot :

ShubhamchouhanvrVTidn

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:

[tex]x=rcos(\theta)\\\\y=rsin(\theta)[/tex]

Here it is given that

[tex]r=7cosec(\theta)[/tex]

so

[tex]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[/tex]

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

To know more about polar coordinates follow

https://brainly.com/question/14965899

#SPJ4

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.