Given and

Deduce

Use this result to show

I was thinking geometric series but cant seem to figure it out. It can easily be done using sums to products but i was wondering if there was a way which makes use of the given result.

thanks

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- Oct 25th 2009, 10:46 PMvuze88Deduce Q
Given and

Deduce

Use this result to show

I was thinking geometric series but cant seem to figure it out. It can easily be done using sums to products but i was wondering if there was a way which makes use of the given result.

thanks - Oct 26th 2009, 02:24 PMOpalg
This is a geometric series with common ratio and sum . Divide top and bottom of that by and you will have something that you can express in terms of sines.

For the second part (which should have an extra term +2n as shown), take the formula for the first part, replace by and use the formula .