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

Related Further Mathematics A Level answers

All answers ▸

Write sin(4x) in terms of sin and cos.


How do you find the determinant of a matrix?


What is the value of x from (x+2)^2=4


What is the polar form of the equation: x^2+y^2 =xy+1