Find the cartesian coordinates of the following points given in polar coordinates.

Question

b. (2 rt2, 3pi/4)

I cant figure this one out

Answer 1

I don't know what they call the radius 2 rt2.
Whatever the polar-coordinate radius is, multiply it by cos 3pi/4 to get x and sin 3pi/4 to get y.

cos 3pi/4 = cos 135 degrees = -1/(sqrt 2)
sin 3pi/4 = sin 135 degrees = 1/(sqrt 2)