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

4142 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

Whats the derivative of sin(3x)?


Two planes have eqns r.(3i – 4j + 2k) = 5 and r = λ (2i + j + 5k) + μ(i – j – 2k), where λ and μ are scalar parameters. Find the acute angle between the planes, giving your answer to the nearest degree.


Find the general solution of the second order differential equation: y''+2y'-3 = 0


Prove that "6^n + 9" is divisible by 5 for all natural numbers.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning