Question

Please Help!!

Answer 1

Answer:

0.0069

Step-by-step explanation:

This is a power series problem.

The taylor power series expansion for sin(x) = x - x³/3! + (x^(5))/5! - (x^(7))/7! + (x^(9))/9! .......

Our question says we should use the first 5 terms to find the value of sin(π). Thus;

sin(π) = π - π³/3! + (π^(5))/5! - (π^(7))/7! + (π^(9))/9!

This gives;

π - (π^(3)/6) + (π^(5))/120 - (π^(7))/5040 + (π^(9))/362880 ≈ 0.0069