How to find the polar coordinates of (3, π/2)

Rectangular coordinates, (x, y) = (0, 3)

Step-by-step explanation:

We have given,

Polar coordinates, (r, Θ) = (3, π/2)

We need to find corresponding rectangular coordinates.

Since, x = rcosΘ and y = rsinΘ

Here r = 3 and Θ = π/2

So, x = 3cosπ/2 = 3*0 = 0 ∵ cosπ/2 = 0

And y = 3sinπ/2 = 3*1 = 3 ∵ sinπ/2 = 1

Hence rectangular coordinates of given polar coordinates is (0, 3)