Exponential function: Difference between revisions

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Undid revision 1297609832 by HaydenWong (talk) Changed my mind: one of the link leads to a sub section
Relationship with trigonometry: Added a step in the derivation of complex exponentiation
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<math display="block">e^{it} =\cos(t)+i\sin(t). </math>
 
This formula provides the decomposition of complex exponentialexponentials into [[real and imaginary parts]]:
<math display="block">e^{x+iy} = e^{x}e^{iy} = e^x\,\cos y + i e^x\,\sin y.</math>
 
The trigonometric functions can be expressed in terms of complex exponentials: