The point D has polar coordinates ( 6, 3π/4). Find the Cartesian coordinates of D.
We know that r= 6 and θ = 3π/4 as it is given in the question. We can then use the identities: x= rcosθ and y= rsinθ to find the x and y coordinates which are the Cartesian coordinates. So, x= rcosθ = 6cos(3π/4)= -3√2 and y= rsinθ= 6sin(3π/4) = 3√2 . Therefore, the Cartesian coordinates on D are (-3√2, 3√2).
MB
Answered by Meghan B. • Further Mathematics tutor
4524 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Calculate: ( 2+i√(5) )( √(5)-i).
How can we solve a limit having an indetermination of the type 0/0 or infinity divided by infinity?
What are imaginary numbers, and why do we bother thinking about them if they don't exist?
How do I use proof by induction?