The sin function can be expressed as a series expansion:

(see image)

Use a midpoint break loop to approximate the value of sin(x). Break the loop when the new term in the summation series is smaller than +/- 0.00001 (the tolerance).

Test your function by comparing it to the built-in sin function evaluating x = pi/2

Display, using format long, the sin approximation, the number of terms required to reach the tolerance, and the value of the built-in sin function.

Note that the repeating term in the above expansion is

(see image)

where k is the incremented variable.

The sin function can be expressed as a series expansion: 3 9 Use a midpoint break loop to approximate the value of sin(x). Break the loop when the new term in the summation series is smaller than +/- 0.00001 (the tolerance) Test your function by comparing it to the built-in sin function evaluating x pi/2 Display, using format long, the sin approximation, the number of terms required to reach the tolerance, and the value of the built-in sin function. Note that the repeating term in the above expansion is where k is the incremented variable