Question

# Polar coordinates of a point are given (4, 90^circ). Find the rectangular coordinates of each point.

Polar coordinates of a point are given $$(4, 90^\circ)$$. Find the rectangular coordinates of each point.

2021-03-02
Given polar coordinates,
$$(4, 90^{\circ})$$
To find the rectangular coordinates of the point.
We have,
$$(r, \theta) = (4, 90^{\circ})$$
Conversion formula :
If $$(r, \theta)$$are polar coordinates and (x, y) are rectangular coordinates,
Then $$x = r cos \theta, y = r sin \theta$$
$$x = 4 cos(90^\circ) = 0$$
$$y = 4 sin(90^\circ) = 4(1) = 4$$
So the rectangular coordinates is (0, 4)