1. prove that
2.if ,then find the maximum value of
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 .