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# How can I simplify this as much as possible? Watch

1. Hi, I came across this question in an admissions test quite some time ago and didn't get it. Can someone please explain how you could simplify this expression? Thanks!
2. (Original post by Glavien)
Hi, I came across this question in an admissions test quite some time ago and didn't get it. Can someone please explain how you could simplify this expression? Thanks!
The denominator looks like a geometric series with common ratio sin^2 x, so...?
3. (Original post by Glavien)
Hi, I came across this question in an admissions test quite some time ago and didn't get it. Can someone please explain how you could simplify this expression? Thanks!
Does the bottom remind you of anything?
4. (Original post by Zacken)
The denominator looks like a geometric series with common ratio sin^2 x, so...?
Umm, I can't work out the sum of the series as the number of terms is not given. So, could you just work out the sum to infinity?? I am not sure why you would want to do that though.
5. (Original post by Glavien)
Umm, I can't work out the sum of the series as the number of terms is not given. So, could you just work out the sum to infinity?? I am not sure why you would want to do that though.
Because there are an infinite number of terms, hence the . Had it been , then that is n terms. But because it is just 3 dots, it means there are an infinite number of them.
6. (Original post by Zacken)
Because there are an infinite number of terms, hence the . Had it been , then that is n terms. But because it is just 3 dots, it means there are an infinite number of them.
So, you work out the sum to infinity them simplify to get ?
7. (Original post by Glavien)
So, you work out the sum to infinity them simplify to get ?
Yeah, looks right.
8. (Original post by Zacken)
Yeah, looks right.
Thanks, your help is really appreciated!
9. (Original post by Glavien)
Thanks, your help is really appreciated!
No worries. :-)

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