Math Problem Statement
schreib mir das ergebniss in amplithuden phasen form an
Solution
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Amplitude-Phase Form
Polar Form
Formulas
z = r * e^(i * φ) (Amplitude-Phase Form)
r = |z| (Magnitude of complex number)
φ = arg(z) (Phase angle of complex number)
Theorems
Euler's Formula: e^(i * φ) = cos(φ) + i*sin(φ)
Magnitude of complex number: r = sqrt(a^2 + b^2)
Argument (Phase) of complex number: φ = arctan(b/a)
Suitable Grade Level
Undergraduate/Advanced High School