Convert the complex number z=2(cos⁡7π4+i・sin⁡7π4)z=\sqrt2\left(\cos\frac{7\pi}{4}+i・\sin\frac{7\pi}{4}\right)z=2(cos47π+i・sin47π) from polar to rectangular form.

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Multiple Choice

Convert the complex number $z=\sqrt2\left(\cos\frac{7\pi}{4}+i・\sin\frac{7\pi}{4}\right)$ from polar to rectangular form.

$z=\sqrt2-i\sqrt2$

$z=1-i$

$z = 2 - 2 i$

$z=-i$

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Convert the complex number $z=\sqrt2\left(\cos\frac{7\pi}{4}+i・\sin\frac{7\pi}{4}\right)$ from polar to rectangular form.

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Convert the complex number ﻿z=2(cos⁡7π4+i・sin⁡7π4)z=\sqrt2\left(\cos\frac{7\pi}{4}+i・\sin\frac{7\pi}{4}\right)z=2​(cos47π​+i・sin47π​)﻿ from polar to rectangular form.

Convert the complex number $z=\sqrt2\left(\cos\frac{7\pi}{4}+i・\sin\frac{7\pi}{4}\right)$ from polar to rectangular form.