Express z=2(cosπ4+isinπ4)z = 2\left(\cos\frac{\pi}{4} + i\sin\frac{\pi}{4}\right)z=2(cos4π+isin4π) in rectangular form.
1+i1 + i1+i
−1−i-1 - i−1−i
2+2i2 + 2i2+2i
2+i2\sqrt{2} + i\sqrt{2}2+i2