212 Answered Questions for the topic Complex Numbers

Find the fifth roots of the complex number:

Find the fifth roots of the complex number:cos(5pi/4)+isin(5pi/4)

Find the nth roots of the complex number for the specified value of n.

Find the nth roots of the complex number for the specified value of n.2-2i, n=4
Complex Numbers Calculus

09/29/17

Find the following power. Write the answer in rectangular form. [3(cos 30 + i sin 30)]^2

I'd greatly appreciate your help. Thank you for your time. 
Complex Numbers Calculus

09/29/17

Find the quotient, and write it in rectangular form (do not factor)

(12(cos 420 + i sin 420)) / (2(cos 120 + i sin 120))   Thank you for your time. 
Complex Numbers Multiplying Standard Form

09/27/17

multiplying complex numbers

(-1+2i)(-5+3i)     having trouble on this one, please show me step by step and the answer. Thank you so much. I appreciate it     
Complex Numbers Multiplying

09/26/17

Multiplying complex numbers

Multiply    (-1+2i)(-5+3i)    Write answer as a complex number in standard form 
Complex Numbers Multiplying Multiplication

09/25/17

multiplying complex numbers

Multiply  (3-i)(6-6i)   Write answer as a complex number in standard form 
Complex Numbers Multiplying

09/25/17

multiplying complex numbers

multiply  -i(-4+4i)   write answer as a complex number in standard form 
Complex Numbers Muliplying

09/25/17

Multiplying complex numbers

Multiply  (-2 - 5i)(3+4i)   write answer as a complex number in standard form.  Thanks! :) 
Complex Numbers Algebra Maths Exponents

09/18/17

I want to express (1+i)^11 in algebric form by using the trig functions within the process...

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

09/16/17

In a complex number would you put i in front of or after a radical? I've seen it written both ways and I'm very confused

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

08/31/17

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

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

08/31/17

if y=x²+x-4, evaluate y given x=2i

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.
Complex Numbers Algebra Polygons

08/27/17

Perimeters of Polygons

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.    

08/27/17

Use an algebraic method to find the cube roots of the complex number.

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.
Complex Numbers

08/23/17

Number of distinct roots of z+modulus of z (where z is a complex number)?

How many number of distinct roots of z+modulus of z   (where z is complex number)?
Complex Numbers Algebra 2 Functions Math Help

07/26/17

Algebra 2 Help

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!!
Complex Numbers

03/30/17

Suppose that the coefficients of the equation: x^(n) + [a(sub(n-1)) * X^(n-1)] + [a(sub(n-2)) * X^(n-2]... + a(sub1)) * X = 0 are real and satisfy: 1 is greate

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

03/30/17

if theta is a constant such that 0 < theta < pi and x + 1/x = 2 cos(theta), then for each positive integer n, find x^n + 1/(x^n) in terms of n and theta.

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

03/22/17

Solve for x and y

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

03/19/17

I need Trignometry help ASAP PLEASE

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... more

02/27/17

Complex number doubt

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
Complex Numbers

02/07/17

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

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

01/28/17

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

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

01/23/17

if |z + 1/z| = a then min and max of |z| are where | | is modulus of complex number

based on prop of modulus not knowing how to solve

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