Question

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

Answer 1

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

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)