Mathematics MOC

Euler's formula

Euler's formula states #m/thm/complex

𝑒𝑖𝜃=cos⁡𝜃+𝑖sin⁡𝜃

giving a convenient notation for denoting complex numbers radially. It follows

cos⁡𝜃=12(𝑒𝑖𝜃+𝑒−𝑖𝜃)sin⁡𝜃=12𝑖(𝑒𝑖𝜃−𝑒−𝑖𝜃)
Proof

#missing/proof


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