Given the polar coordinate 2 square root of 2 and 3 pi over 4 what is the equivalent Cartesian coordinate?

x = 2 sqrt(2) cos(3PI/4)

y = 2 sqrt(2) sin(3PI/4)

cos(3PI/4) = -1/sqrt(2)

sin(3PI/4) = 1/sqrt(2)

Therefore, the Cartesian coordinates are:

x= -2 sqrt(2) / sqrt(2) = -1

y = 2 sqrt(2) / sqrt(2) = 1

(-1,1) is the corresponding Cartesian coordinate.