# Homework Help: Taylor Series Help

1. Dec 2, 2009

### vucollegeguy

The Taylor Series of sin(x)=x-(x3/3!)+(x5/5!)-...

What function of sin gives the following:

($$\pi$$2/(22) - ($$\pi$$4/(24*3!)+ ($$\pi$$6/(26*5!) - ($$\pi$$8/(28*7!)+...

Thank you.

2. Dec 2, 2009

### Staff: Mentor

Your mix of [ tex] and [ SUP] tags makes it hard to tell what you wrote.

3. Dec 2, 2009

### Staff: Mentor

If you factor out pi/2, what do you get?

4. Dec 2, 2009

### vucollegeguy

Thanks.
Got that factored out.

5. Dec 2, 2009

### Staff: Mentor

No, your final answer should be something like A*sin(B). Factoring out the pi/2 should give you an idea of what function your Maclaurin series represents.

6. Dec 2, 2009

### vucollegeguy

I dont recogize the series except that it comes from sin(something)...

7. Dec 2, 2009

### Staff: Mentor

Isn't this what you have?
$$\frac{\pi}{2}\left(\frac{\pi/2}{1!}~-~\frac{(\pi/2)^3}{3!}~+~\frac{(\pi/2)^5}{5!}~-~\frac{(\pi/2)^7}{7!}~...\right)$$

Looks pretty suggestive to me.

8. Dec 2, 2009

### vucollegeguy

I figured it out as soon as I posted my last reply.
Thanks to you all!