I need some guidance on proving these identitles. Any help would be appreciated.

1)

((sec x+1)(sec x-1))/(2+(tan x+1)(tan x-1)) = sin^2 x

2)

sec x + csc x = (1+tan x/sin x)

:cool:

Printable View

- October 31st 2006, 07:16 PManna_simsIdentities!
I need some guidance on proving these identitles. Any help would be appreciated.

1)

((sec x+1)(sec x-1))/(2+(tan x+1)(tan x-1)) = sin^2 x

2)

sec x + csc x = (1+tan x/sin x)

:cool: - October 31st 2006, 07:46 PMThePerfectHacker
- October 31st 2006, 07:51 PMtopsquark
Well first of all:

So

Now to the LHS of your expression:

Mulitplying out the numerator and denominator:

<-- Using the tan^2 relation in the numerator.

<-- Using the tan^2 relation in the denominator.

Now convert everything into sines and cosines:

Multiply top and bottom by :

=

-Dan