Show that $z= Ae^{it}+Be^{-it}$ is an ellipse
136961
Why does the complex equation $z=Ae^{it}+Be^{-it}$ represent an ellipse?
55869
Use the Maclaurin series to prove that $e^{i\theta} = cos(\theta) + isin(\theta)$
28218
Elementary proof for $\sqrt[3]{xyz} \leq \dfrac{x+y+z}{3}$
124300
$\lambda-z-e^{-z}=0$ has one solution in the right half plane
40824
Complex Equation Of a Circle $|z-z_1|^2+|z-z_2|^2=k$.
112401
Plot $|z - i| + |z + i| = 16$ on the complex plane
106609
Show that $e^{iy} = 1 + iy + \frac{\mu_1 y^2}{2}$ for all $y \in \mathbb{R}$ with $|\mu_1| \leq 1$
85311
Proving that $e^{\pi}-{\pi}^e\lt 1$ without using a calculator
56697
How to show that the given equation has at least one complex root ,a s.t |a|>12
72313
Show that for all real numbers $a$ and $b$, $\,\, ab \le (1/2)(a^2+b^2)$
103851
Show that $\frac{xy}{z} + \frac{xz}{y} + \frac{yz}{x} \geq x+y+z $ by considering homogeneity
57191
Show that if $a>e$, the equation $az^n=e^z$ admit $n$ roots in the unit disk - Rouché theorem
102175
$Z=XY$, $E_Z[Z]$, $E_{X,Y}[XY]$
4343
Conformal parametrization of an ellipse
101320
How to tell $i$ from $-i$?
116223
Show that the angles satisfy $x+y=z$
49845
For an ellipse with minor radius $b$, show that the product of distances from the foci to any tangent line is $b^2$