# Find the Cartesian co-ordinates of points whose polar coordinates are : (1,180°) - Mathematics and Statistics

Sum

Find the Cartesian co-ordinates of points whose polar coordinates are :

(1,180°)

#### Solution

(r, θ) = (1, 180°)

Using x = r cos θ and y = r sin θ, where (x, y) are the required cartesian co-ordinates, we get

x = 1(cos 180°) and y = 1(sin 180°)

∴ x = –1 and y = 0

∴ the required cartesian co-ordinates are (–1, 0).

Concept: Polar Co-ordinate System
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