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Home/Mathematics/Complex Numbers/Euler's Formula Calculator
Math CalculatorComplex Numbers

Euler's Formula Calculator

Evaluate Euler's formula e^(iθ) = cos θ + i sin θ for any angle. This fundamental identity connects exponential and trigonometric representations of complex numbers.

Updated 2025-01-153 min readCalzyra Math Team

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Formula & Methodology

How this calculator works

e^(iθ) = cos θ + i sin θ

Euler's formula states that for any real number θ, e raised to the power of iθ equals cos θ plus i times sin θ. It bridges exponential and trigonometric forms and is the basis for Euler's identity when θ = π.

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