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
4447 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸z = 4 /(1+ i) Find, in the form a + i b where a, b belong to R, (a) z, (b) z^2. Given that z is a complex root of the quadratic equation x^2 + px + q = 0, where p and q are real integers, (c) find the value of p and the value of q.
Given sinhx = 0.5(e^x - e^-x), express its inverse, arcsinhx in terms of x.
Integrate tan(x) wrt x
A tank contains 500L of salty water. Pure water is pumped in at a rate of 10 L/sec, and the the mixture is pumped out at a rate of 15L/ sec. If the concentration of salt is 5g/L initially, form an equation of amount of salt, s, at t seconds.