Question

find Cartesian coordinates of points whose polar coordinates are (4,π\3)​

Answer 1

Step-by-step explanation:

Here, r=

2

and θ=

4

π

Let the cartesian coordinates be (x,y)

Then, x=rcosθ=

2

cos

4

π

=

2

(

2

1

)=1

y=rsinθ=

2

sin

4

π

=

2

(

2

1

)=1

∴ the cartesian coordinates of the given point are (1,1)