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Use the first five terms of the trigonometric series to approximate the value of sin pi to four decimal places.

The answer is C.

User Ands
by
6.9k points

1 Answer

5 votes

Answer:

0.0069

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

User Jszpilewski
by
6.5k points
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