Question

What is the Cartesian form of `( 15 , ( 7pi)/3 )`?

Answer 1

`(15/2,15sqrt3/2)`

Explanation:

In Polar coordinates a point is represented as `P (r,theta)`
In Cartesian form it is represented as `P (x,y)`
Where `x=rcostheta`
And `y=rsintheta`
`:.` Cartesian form of `P (15,(7pi)/3)` will be
`x=15xxcos ((7pi)/3) =15/2`
`y=15xxsin ((7pi)/3) =15sqrt3/2`
`:.` The point in Cartesian coordinate will be `P (15/2,15sqrt3/2)`