Question

How do you find the rectangular coordinates given `(3, pi/2)`?

Answer 1

`(0, 3)`

Explanation:

The rectangular or cartesian coordinates `(x, y)` of the given point `(3, \pi/2)\equiv(r, \theta)` are given as

`x=r\cos\theta=3 \cos (\pi/2)=0`

`y=r\sin\theta=3 \sin (\pi/2)=3`

`\therefore (x, y)\equiv(0, 3)`