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).

Related Further Mathematics A Level answers

All answers ▸

A rectangular hyperbola has parametric equations x = 4t, y = 4/t , (z non 0). Points P and Q on this hyperbola have parameters t = 1/4 and t = 2. Find the equation of the line l which passes through the origin and is perpendicular to the line PQ.


Express sin(5theta) in terms of sin(theta) and powers of sin(theta) only.


Find all the cube roots of 1


Why is the argument of a+bi equal to arctan(b/a)?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences