Mathematics MOC

Euler’s formula

Euler’s formula states complex

π‘’π‘–πœƒ=cosβ‘πœƒ+𝑖sinβ‘πœƒ

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

cosβ‘πœƒ=12(π‘’π‘–πœƒ+π‘’βˆ’π‘–πœƒ)sinβ‘πœƒ=12𝑖(π‘’π‘–πœƒβˆ’π‘’βˆ’π‘–πœƒ)


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