Taylor polynomial approximations to a sine curve
This demonstration plots the graph of
y
=
sin
(
x
)
along with an approximating Taylor polynomial. If
n
is the requested degree of the Taylor polynomial, and
n
is odd, then the approximating polynomial is
P
(
x
)
=
x
−
x
3
3
!
+
x
5
5
!
−
x
7
7
!
+
⋯
+
(
−
1
)
n
−
1
2
x
n
n
!
Degree of Taylor polynomial:
Plot approximating polynomial
This work is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License
.
