What is e^{iπ}?
What is e^{iπ}?
Approach: Use Euler's formula.
-1. Euler's formula: e^{iθ} = cosθ + i sinθ. With θ=π, cosπ=-1, sinπ=0.
Follow-up: What is i^i?
Key concepts: Euler's formula, complex exponential.
What is e^{iπ}?
Approach: Use Euler's formula.
-1. Euler's formula: e^{iθ} = cosθ + i sinθ. With θ=π, cosπ=-1, sinπ=0.
Follow-up: What is i^i?
Key concepts: Euler's formula, complex exponential.