CPM Homework Help : PC Problem 6-155

Prove each trigonometric identity.

Hint:

1. Change all terms to sines and cosines.
2. Get common denominators.
3. Use the Fundamental Pythogorean Identies.

$\frac { \operatorname { sin } x } { 1 + \operatorname { cos } x } + \frac { 1 + \operatorname { cos } x } { \operatorname { sin } x }$ = 2 csc x
$\frac { \operatorname { cos } \alpha } { 1 + \operatorname { sin } \alpha } + \frac { \operatorname { cos } \alpha } { 1 - \operatorname { sin } \alpha }= 2 \sec α$