For some reason 1+i = root 2 * e ^ pi / 4 which i dont understand how so I would like an explanation for this...

For some reason 1+i = root 2 * e ^ pi / 4 which i dont understand how so I would like an explanation for this...

imaginary numbers. complex numbers.radicals. order in a solution

Given that: z=tan(α)+i, where 0<α<(1/2)*pi Find the absolute value of z in its simplest form. How the hell do I solve this?

if y=x²+x-4, evaluate y given x=2i. this is the first time I have seen this so I am unsure how to proceed.

A. Calculate the perimeter of the polygon whose vertices are the complex fourth roots of 1. B. Calculate the perimeter of the polygon whose vertices are the complex ninth roots of 1....

Use an algebraic method to find the cube roots of the complex number: 5(cos(π/6)+isin(π /6)) The answer needs to be in a+bi form.

How many number of distinct roots of z+modulus of z (where z is complex number)?

Link : http://imgur.com/a/JZxGv This is a 3 part question so I would be extremely grateful with you could answer the 3 parts. Thanks in advance!!

I know that the triangle inequality should be used to prove this but I can't quite figure out how recall: |z1 + z2|<= |z1| + |z2|

sketch on an argand diagram arg(z - 3 - i) = π is this written as: arg(z-(3 + 1i)) = π ?? and then plot the half line at (3 , 1i) or just as...

I'm not sure how to type this question how it looks on paper. I described it as best as I could. HELP!!

This has something to do with complex numbers. I'm not sure what exactly.

This has to do with the number theory and/or complex numbers. I am completely lost on this question.

[(x+yi)2]-2(x-yi)+6=2-i

I need help with these trigonometry problems. I would really appreciate it if you could help me. Here is the problem: Problem #3 – Show that |r(cosθ + isinθ )| = r. Second Question: – Find the...

If X=a+b+c Y= am+bn+c Z=an+bm+c where n and m are complex root of unity then XYZ equal to ?

The continued product of the four values of (cos π/3 + isin π/3)3/4 = 1. 1 2. 1-i√3 3. 1+i√3 4. None of these

If X=a+b+c Y=am+bn+ Z=an+bm+c where n and m are complex root of unity, then XYZ equal to ________?

prove that log((x+iy)/log(x-iy)=2i tan inverse y/x

for any point, z, whose size is one, find the length of z^2

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