Convert the following polar coordinates to Cartesian coordinates.

Question

Convert the following polar coordinates to Cartesian coordinates.

 

(3,pi/4)

Answer 1

Hi Daniel,

(3, π/4) = (r, θ) 

(r, θ) ----> (x,y)

 

y

*

*                        *(x,y) 

*           r      *

*             * 

*        *

*  * θ

*******************x

*

*

*

x = rcosθ, y =rsinθ,

x = 3 sin(π/4) = 3/2 √2 

y = 3 cos(π/4)= 3/2 √2 

(3, π/4) -->(3/2 √2 ,3/2 √2 )