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...

At a carnival, A new attraction allows contestants to jump off a springboard onto a platform to be launched vertically into the air. The object is to ring a bell located 20 feet overhead. The...

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...

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

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

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

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

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+c Z=an+bm+c where n and m are complex root of unity then XYZ equal to ?

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

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

If 1,w and w2 are the three cube roots of unity and a,b and c are the cube roots of p,q (<0),then for any x,y and z,the expression {(xa + yb + zc)÷(xb + yc + za)} is equal to ?...

based on prop of modulus not knowing how to solve

problem based on prop of modulus not knowing how to solve

Write in polar coordinates all 8-th roots of unity. Find all pairs of roots r1 and r2 such that r1 = r2

It is a troubling question which has proved a real bulwark to attempt or even solve correctly.

Give any two complex numbers lie along the angle bisector of the line L1 : z= (1+ 3r) + i(1+4r) L2 : z =(1+3s) + i(1-4s) find any two points on the angle bisector...

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