Which of the following is equivalent to z=1+iz = 1 + iz=1+i written in polar form r(cosθ+isinθ)r(\cos \theta + i \sin \theta)r(cosθ+isinθ)?
2(cosπ4+isinπ4)\sqrt{2}(\cos \frac{\pi}{4} + i \sin \frac{\pi}{4})2(cos4π+isin4π)
2(cosπ4+isinπ4)2(\cos \frac{\pi}{4} + i \sin \frac{\pi}{4})2(cos4π+isin4π)
2(cosπ2+isinπ2)\sqrt{2}(\cos \frac{\pi}{2} + i \sin \frac{\pi}{2})2(cos2π+isin2π)
1(cosπ4+isinπ4)1(\cos \frac{\pi}{4} + i \sin \frac{\pi}{4})1(cos4π+isin4π)