Maeckes logo

<    1      2      3      4      5    >


Sine

The power series for the sine can be written as

 


Explanation

As the sine can be differentiated continuously, you get







The point x = 0 gives sin (0) = 0 and cos (0) = 1 so you get







We substitute this in the Taylor series and find

so

 


Symmetry

The formula contains only odd numbers, so the is the sysmmetry

 


Example 1

You can see that sin (0) = 0, because according to the formula applies

sin (0) = 0 − 0 + 0 − ... = 0

 


Deutsch   Español   Français   Nederlands