1. prove that

2.if ,then find the maximum value of

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- Oct 31st 2010, 10:36 PMearthboytrig problems:
1. prove that

2.if ,then find the maximum value of - Oct 31st 2010, 11:17 PMharish21
what have you done? show your work.

- Nov 1st 2010, 11:28 AMearthboy
yup!got the first one...but have no idea on the second one.

please help ! - Nov 1st 2010, 12:36 PMAlso sprach Zarathustra
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 . - Nov 1st 2010, 11:16 PMUnknown008
I would like to know how you went from this:

to this:

Concerning the denominator...

Shouldn't it be:

Or

?