Simplify the following trig expressions.

1. $\text{cos }A + \text{tan }A \text{ sin }A$

   Hint (a):

   1. Change all terms to sine and cosine.
   2. Get a common denominator.
   3. Use the Fundamental Pythagorean Identity.
   4. Simplify.

2. $\operatorname{sin}^2 θ + \operatorname{tan}^2 θ − \operatorname{cot}^2 θ + \operatorname{cos}^2 θ − \operatorname{sec}^2 θ + \operatorname{csc}^2 θ$

   Hint (b):

   Use the Pythagorean Identities.
   Change their forms to get $1$s.

   $\operatorname{cos}^2θ + \operatorname{sin}^2θ = 1$
   $1 + \operatorname{tan}^2θ = \operatorname{sec}^2θ$
   $1 + \operatorname{cot}^2θ = \operatorname{csc}^2θ$