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



and



cot^2(x)+cot^2(x)Tan^2(x)

What are you supposed to do with those?

I do not see an equation.

Taking a guess, the last one can be simplified:

Factor out cot^{2}(x):

cot^{2}(x)(1+tan^{2}(x))

Note what is in the parentheses is an identity, sec^{2}(x)=1+tan^{2}(x).

So, we have:

cot^{2}(x)sec^{2}(x)

\frac{1}{tan^{2}(x)cos^{2}(x)}

But, by using \frac{sin(x)}{cos(x)}=tan(x), we can see that the denominator is equal to:

\frac{1}{sin^{2}(x)}

=csc^{2}(x)