How do we know when to use theta=0 or 2pi in finding the 4th root of 100+0i using DeMoivre's theorem

How do we know when to use theta=0 or 2pi in finding the 4th root of 100+0i using DeMoivre's theorem

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 in polar form

Use DeMoivre 's Theorem to find the indicated power. Write the answers in rectangular form. [√2(cos pi/4+i sin pi/4)]^-8 Please show step by step work to solution...

1). 4(cos40° + isin40°)/3(cos160°+isin160°) 2).[2/3(cosπ/3+isinπ/3)][9(cosπ/6+isinπ/6])]

Use DeMoivre's Theorem to find (sqrt(2)-i)^4 Step by Step, this is a practice problem my professor gave me

If one vertex of an equilateral triangle is 1+i and centroid is it's origin then other two vertices of triangle are?

Express the result in standard form (√3+i)^5

Use the theorem below to find the indicated roots of the complex number. B. Represent each of the roots graphically. C. Express each of the roots in a standard form...

i need to see the step by step solution please help me

I am having trouble understanding demoivre's theorem. I am not quite grasping the concept. Please help with this homework problem.