Could someone help me with this problem?

Question: Simplify the expression cos(2x) + 2sin(squared)x.

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- Jan 12th 2007, 01:29 PMmike1Simplifying expressions
Could someone help me with this problem?

Question: Simplify the expression cos(2x) + 2sin(squared)x. - Jan 12th 2007, 01:43 PMCaptainBlack
- Jan 12th 2007, 03:18 PMSoroban
Hello, Mike!

Another approach . . .

I assume you're familiar with the Double-angle Identities.

In particular: .

Quote:

Simplify: .

. . .

. . .

- Jan 12th 2007, 11:28 PMmike1
Thanks, I appreciate the help. I guess I was doubting myself that it was that simple.

I do have another two that I am not sure about if you could help:

Question 1: Express as a sum or difference 2sin(6u)cos(4u).

I think it's either sin(10u)-sin(2u) or sin(10u)+sin(2u), not too sure.

Question 2: Express as a product sin(6t) + sin(2t).

I think it's either 2sin(4t)cos(2t) or 2cos(4t)sin(2t), again not sure.

Thanks for any advice. - Jan 13th 2007, 12:20 AMCaptainBlack
- Jan 13th 2007, 12:24 AMCaptainBlack