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
4572 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸How would you show the equation f(x) = 2x – 10 sin x – 2 has a root between 2 and 3 (where x is measured in radians)
Write 1 + √3i in modulus-argument form
Solve the following complex equation: '(a + b)(2 + i) = b + 1 + (10 + 2a)i' to find values for 'a' and 'b'
y = artanh(x/sqrt(1+x^2)) , find dy/dx