Content deleted Content added
m Reverted 1 edit by 188.51.195.214 identified as test/vandalism using STiki |
|||
Line 3:
==Euler's formula==
Euler's formula states that
:<math>e^{ix} = \cos x + i\,\sin x.</math>
Substituting −''x'' for ''x'' gives the equation
:<math>e^{-ix} = \cos x - i\,\sin x.</math>
These two equations can be solved for the sine and cosine:
:<math>\cos x = \frac{e^{ix} + e^{-ix}}{2}\quad\text{and}\quad\sin x = \frac{e^{ix}-e^{-ix}}{2i}.</math>
| |||