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|

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

based on prop of modulus not knowing how to solve

problem based on prop of modulus not knowing how to solve

What is the relation between the set of complex numbers, the imaginary numbers, and the real numbers?

Why does the absolute value of every real positive number raised to i equal 1?

complex numbers are particulary important in engineering especially during stability analysis. They often arise as a result of solving a system which include a quadratic function and the following...

Rewrite the complex number in polar form, z=r(cos(theta)+isin(theta)). z = 2 = ? A. 2(cos(0)+isin(0)) B. 2(cos(pi/4)+isin(pi/4)) C. (sqrt 2)(cos(0)+isin(0)) D...

Find the quotient of the complex numbers: 2 * (sqrt 3) (cos (116 deg) + i sin (116 deg)) / 2(cos (82 deg) + isin (82 deg ))

rewrite the complex number in polar form, z=r(cos(theta )+isin(theta )) z= (1/2)+(sqrt 3/2)i=? A. cos(pi/2)+isin(pi/2) B. cos(pi/3)+isin(pi/3) C...

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