Math Is Fun Forum

Daniel123

Member

Registered: 2007-05-23

Posts: 663

Products

Simplify the following products as far as possible:

I have managed to do the first two (I think they are correct), but the third is causing me problems. I have shown the first two in case they help with the third in any way.

(i)

(ii)

(iii)

, where n is even.

After some fiddling around, I can get it down to:

I have no idea if this is correct, and I don't know what to do now. Any help would be appreciated.

Thanks.

Last edited by Daniel123 (2008-02-22 12:15:30)

Daniel123

Member

Registered: 2007-05-23

Posts: 663

Re: Products

Looking at part (ii), would it be possible to use trig idientities in some way, making use of (r² - 1) / r² ?

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: Products

Hence the product is

Daniel123

Member

Registered: 2007-05-23

Posts: 663

Re: Products

Simplifying the original expression never even crossed my mind.. I feel quite silly now. I think the look of the question just through me off. Thank you Jane.

H_GUEST

Member

Registered: 2010-01-19

Posts: 2

Re: Products

What is a product?

H_GUEST

Member

Registered: 2010-01-19

Posts: 2

Re: Products

Say example what is the product of 1232?

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Products

Hi H_GUEST;

The term "product" refers to the result of one or more multiplications. For example, the mathematical statement a×b=c would be read "a times b equals c," where c is the product.

For another example 7 * 8 = 56 , 56 is the product of 7 times 8.

Say example what is the product of 1232?

If that is a number then there are no multiplications to yield a product.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.