You can use a Taylor series to approximate common functions. The Taylor series for sin(x) is
Using only the first several terms in the series could get you a good approximation to the function.
Write a function that takes a point x at which to evaluate the sine function and a tolerance level that defines how close you want the Taylor series approximation to be to the actual value. Your function should output the approximate value of sin(x).
Solution Stats
Problem Comments
2 Comments
Solution Comments
Show comments
Loading...
Problem Recent Solvers211
Suggested Problems
-
Are all the three given point in the same line?
605 Solvers
-
Right Triangle Side Lengths (Inspired by Project Euler Problem 39)
2117 Solvers
-
The Answer to Life, the Universe, and Everything
584 Solvers
-
Calculate the average value of the elements in the array
1807 Solvers
-
Split Even Number Into Two Primes
215 Solvers
More from this Author10
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
Using sin(x) to test the tolerance level is probably inadequate. We should be testing how much a new term improved the solution compared to the previous one. If we calculate sin(x) there is no need to use the Taylor series.
You are right. I made a solution with the remainder of Lagrange for error estimation. I avoided the sin(x) usage for comparing approximation and real values.