I know that sin(x) = x - (x^3)/3! + (x^5)/5! ....
But what I don't understand is how this relates to a triangle (i.e. opposite/hypotenuse). Can anyone shed some light?
sin(x) infinite series Watch
- Thread Starter
- 08-12-2010 18:18
- 08-12-2010 18:20
The link has a helpful graph illustrating what the Taylor Series actually does.
- 08-12-2010 21:04
The value of sinx is a ratio in a triangle - more generally it is the y coordinate
of the unit vector of i rotated around the origin with an any real angle (clockwise or counterclockwise (-/+) in the Cartesian coordinate system.
So this value maybe between -1 and 1, and mostly is an irrational number.
The series means we can approache this value by infinite series of given rational (maybe real) terms, so we can calculate the value of sin x with any accuracy, using
so many terms as it is needed.