Thread: trig problems:

1. prove that

2.if ,then find the maximum value of

what have you done? show your work.

yup!got the first one...but have no idea on the second one.
please help !

Let we start with the trig. formula:

(1) .

Now let we divide (1) by :

(2)

We given that: (3)

Putting (3) in (2):



Now I will assume that , and will sign .

Let us now look at:

Using: Inequality of arithmetic and geometric means - Wikipedia, the free encyclopedia



Or:



Hence

Maximum value of

Therefor .

I would like to know how you went from this:



to this:



Concerning the denominator...

Shouldn't it be:



Or



?