What is maclaurin series sinx?

The Maclaurin series of sin(x) is given by:

sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ...

The Maclaurin series of sin(x) is an infinite series that represents the value of sin(x) for any value of x around the origin. It is a power series that converges for all real values of x.

The coefficients of the series are given by the formula:

an = (-1)n / (2n+1)!

where n is the index of the term in the series.

The sin(x) series can be used to approximate the value of sin(x) for any value of x by truncating the series at a certain term.

The Maclaurin series of sin(x) is a useful tool in mathematics and engineering, as it can be used to approximate the function sin(x) in many practical applications.