Find a geometric mean (sorry guys, not sure how to describe.)

Hey, sorry I can't describe further in the title. I have no clue where to go with this haha.

4. Find one geometric mean between 2sin^2θ , ___ , cos^2θ in terms of sinθ only.

Thanks!

Re: Find a geometric mean (sorry guys, not sure how to describe.)

Hello, Higg!

Do you know what a geometric mean is?

We want an expression such that: .

We have: .

Therefore: .

1 Attachment(s)

Re: Find a geometric mean (sorry guys, not sure how to describe.)

Thanks!

I understand how you tackled it, except the last part, from x =... to x=....

Also, Attachment 26558

That is what I have in my Solutions key. It's a little different, so could you maybe explain that one to me as well?

Big thanks : D

Re: Find a geometric mean (sorry guys, not sure how to describe.)

Hello again, Higg!

I have two issues with this problem.

This is what you posted.

First, what happened to the 2 ?

In the solution, they solved a different problem.

Second, it says, "in terms of sinθ only".

But their answer contains sin**2**θ.

Re: Find a geometric mean (sorry guys, not sure how to describe.)

Quote:

Originally Posted by

**Higg** That is what I have in my Solutions key. It's a little different, so could you maybe explain that one to me as well?

It could be noted that .