If z=√2−i√2 is rotated through an angle 45° in the anti-clockwise direction about the origin, then the coordinates of its new position are
(√2,0)
z=√2−i√2
Here, θ=tan−1=(−√2√2)=tan−1(−1)=135o
Now, rotate z in opposite direction with 45° angle
∴ θ=180o
∴ θ=tan0=tan−1(0√2)
⇒ Hence x=√2 and y=0.