Perhaps it's Euler's Theorem that you're asking about. Euler's Theorem does not deal with complex numbers, but Euler's Formula does:
eiθ = cos(θ) + i*sin(θ). Where θ is measured in radians.
The Liouville theorem of complex is a math theorem name after Joseph Liouville. The applications of the Liouville theorem of complex states that each bounded entire function has to be a constant, where the function is represented by 'f', the positive number by 'M' and the constant by 'C'.
You would need to use de Moivre's theorem.
Liouville's theorem, which is also known as the Complex Analysis was developed by Joseph Liouville. It states that a bounded function is considered a constant function.
According to de Moivre's theorem, that for any complex number x and integer n,[cos(x) + i*sin(x)]^n = [cos(nx) + i*sin(nx)]where i is the imaginary square root of -1.
The Liouville Theorem is used in complex equations because it keeps two numbers constant. When you have many variables, having multiple constants will help make the equation solveable.
The fundamental theorem of algebra was proved by Carl Friedrich Gauss in 1799. His proof demonstrated that every polynomial equation with complex coefficients has at least one complex root. This theorem laid the foundation for the study of complex analysis and was a significant contribution to mathematics.
Using superposition theorem.
6.3 is 7% of what number and how do I get to the answer
By using Thevenin's theorem we can make a complex circuit into a simple circuit with a voltage source(Vth) in series with a resistance(Rth)
in simplifying complex circuits and for different loads this theorem proven very useful
The Liouville theorem states that every bounded entire function must be constant and the consequences of which are that it proves the fundamental proof of Algebra.
The fundamental theorem of arithmetic or the unique factorisation theorem would fail.