# Homework Help: Maclaurin Series Question

1. Apr 28, 2014

### student93

1. The problem statement, all variables and given/known data

Problem is attached in this post.

2. Relevant equations

Problem is attached in this post.

3. The attempt at a solution

I used the Maclaurin Series for sin (x) and got the following series:

π/10 - π^3/6,000 + ....... etc.

I can't find a way to simplify the series to get an answer (Without a calculator etc.)

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2. Apr 28, 2014

### Staff: Mentor

π is about 3.14 and π2 is roughly 10. That should be sufficient, and you can make a very rough estimate for π in the second term.

3. Apr 28, 2014

### student93

That's true, but then some of the other answer choices could also be possible answers then, how can you say for sure then that 31/100 is the correct answer?

4. Apr 29, 2014

### Staff: Mentor

Just plug in the approximations I suggested, get your expansion on a common fraction and it will be clear.