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(from cosine and sine) in 1942, follow directly from trigonometry, and its definition as a phase-shifted trigonometric function 1=$\backslash operatorname\{cast)=\backslash sqrt\{2\}\; \backslash sin\; (t+\backslash pi\; /4)=\backslash sin(t)+\backslash cos(t)$.}} For example, it has an angle-addition identity of:

Additionally:

and its derivative is given by:

See also

* cis (mathematics)
*Fractional Fourier transform

References

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