Hi,

I am doing my best to understand my trig class, but I just cannot understand proving identities. I've spent the last three night searching the internet for videos and tutorials and still do not understand my own problems...

I was able to figure out a solution to one of them by looking at a solution to a previously posted problem, but I can't get it to work for any of my others.

I really would like to understand these!

Problem 1:

$\displaystyle

\frac{cos\Theta + sin\Theta}{sec\Theta + csc\Theta} = (sin\Theta)(cos\Theta)

$

I started with LHS. I multiplied by $\displaystyle (sec\Theta - csc\Theta) $ on both numerator and denominator and got:

$\displaystyle

\frac{sin\Theta}{cos\Theta} - \frac{cos\Theta}{sin\Theta} $

over

$\displaystyle sec^2\Theta - csc^2\Theta $

And there I've lost it. Any hints? Am I even on the right track?