Sine to Euler’s Formula Converter

How to Convert Sine to Euler’s Formula

Euler’s formula allows us to represent sine using complex exponentials:

sin(θ) = (e^iθ – e^-iθ) / 2i

This is useful in fields like signal processing, physics, and electrical engineering where waveforms are expressed using complex numbers.

Example:

Let θ = π/3

Then:

sin(π/3) = (e^iπ/3 – e^-iπ/3) / 2i

This evaluates numerically to approximately 0.866, which is sin(60°).