Question

What is the Cartesian form of `( 7 , ( 7pi)/3 )`?

Answer 1

`(3.5,7sqrt(3)/2)`

Explanation:

To convert a polar coordinate to Cartesian form, use the parametric form. Converting polar to parametric form is as follows:

`x=rcostheta`
`y=rsintheta`

`r=7` and `theta=7pi/3` based on our problem. Plug into the formula:

`x=7cos(7pi/3)=3.5`
`y=7sin(7pi/3)=7sqrt(3)/2`

Write this all together:

`(3.5,7sqrt(3)/2)`