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One of the most important identities in all of mathematics, Euler's formula relates complex numbers, the trigonometric functions, and exponentiation with Euler's number as a base. The formula is simple, if not straightforward: Alternatively: When Euler's formula is evaluated at , it yields the simpler, but equally astonishing Euler's identity. As a consequence of Euler's formula, the sine and cosine functions can be represented as

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  • Euler's formula
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  • One of the most important identities in all of mathematics, Euler's formula relates complex numbers, the trigonometric functions, and exponentiation with Euler's number as a base. The formula is simple, if not straightforward: Alternatively: When Euler's formula is evaluated at , it yields the simpler, but equally astonishing Euler's identity. As a consequence of Euler's formula, the sine and cosine functions can be represented as
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  • One of the most important identities in all of mathematics, Euler's formula relates complex numbers, the trigonometric functions, and exponentiation with Euler's number as a base. The formula is simple, if not straightforward: Alternatively: When Euler's formula is evaluated at , it yields the simpler, but equally astonishing Euler's identity. As a consequence of Euler's formula, the sine and cosine functions can be represented as
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