Question

What is the Cartesian form of `(-44,(5pi)/12))`?

Answer 1

`(11.388,42.501)`

Explanation:

Note the Cartesian form cannot have the modulus negative so I assume the `-44` should be `44`.

To convert polar form `(r,theta)` to rectangular form `(x,y)`, we use the following transformations :

`x=rcostheta=44cos((5pi)/12)=11.388`.

`y=rsintheta=44sin((5pi)/12)=42.501`.