CPM Homework Help : PC Problem 4-139

Verify the following trigonometric identities. Intermediate steps may involve complex fractions.

$\text{csc }x - \text{sin }x = \text{cot }x \text{ cos }x$
Hint (a):
1. Change all terms to sine and cosine.
2. Get a common denominator.

$\text{sec }x + \text{tan }x =\frac { 1 } { \operatorname { sec } x - \operatorname { tan } x }$
Hint (b):
1. Change all terms to sine and cosine.
2. Get a common denominator.
3. Use the Fundamental Pythagorean Identities.