How do I convert this to rectangular form? I know Euler's formula is how we are going to convert the complex number to a rectangular coordinate. Where i'm confused is r being 1.6. Any help would be great!

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  • What value of $r$ would make you less confused? Why? – David K Sep 5 at 5:55
  • I';m comparing it to the numbers that can be associated with the 30-60-90 triangle from pi/6. I dont fully understand complex numbers yet. – Chris Manning Sep 5 at 5:58
  • What does $a\angle b$ mean? – Saucy O'Path Sep 5 at 6:01
  • You can associate any numbers you want with the 30-60-90 triangle as long as they're in the right proportions to each other. What particular numbers did you have in mind? – David K Sep 5 at 6:26

$$z=1.6\angle\frac\pi6=1.6\left(\cos\frac\pi6+i\sin\frac\pi6\right)=\frac45\sqrt{3}+\frac45i.$$

  • That's what you get from doing math right after taking a nap. Fixed, thanks! – user496634 Sep 5 at 9:58

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