Complex Numbers : Proof
111976
Prove that a product of two complex numbers has zero imaginary part
147684
Prove that $\sin \theta=\frac{3 \sin \alpha+\sin^3 \alpha}{1+3\sin^2 \alpha}$ using given condition
21769
Motivation for complex numbers
34252
$ z^n = a_n + b_ni $ Show that $ b_{n+2} - 2b_{n+1} + 5b_n = 0 $ (complex numbers)
137718
Prove that the complex expression is real
52800
Show that $z^5-1=(z-1)(z^2+2z\cos{\pi \over 5}+1)(z^2-2z\cos{2\pi \over 5}+1)$
92595
A problem regarding the in-equality of complex numbers .
15237
Prove an inequality using complex analysis
123136
Proof of the identity: $c\sin \frac{A-B}{2} \equiv (a-b) \cos \frac{C}{2}$
106197
Complex numbers - Exponential numbers - Proof
119628
Proving an identity relating to the complex modulus: $z\bar{a}+\bar{z}a \leq 2|a||z|$
34709
Complex numbers - roots of unity
41191
How to prove this $\pi$ formula?
108698
proof using the mathematical induction
139371
Sums of complex numbers - proof in Rudin's book
156782
Confused about complex numbers
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Complex numbers $z$ such that $|z|= 1$