CPM Homework Help : PC3 Problem 11-79

Verify each of the following trigonometric identities.

Hint:

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

$\frac{\cot(\alpha)+\tan(\alpha)}{\sin(\alpha)\cos(\alpha)}=$ $\csc^2(α)\sec^2(α)$
Step 1(b):
$\large \frac{\frac { \cos ( \alpha )}{\sin\alpha}+ \frac { \sin ( \alpha )}{\cos\alpha}}{\sin(\alpha)\cos(\alpha)}$
Step 2(b):
$\large \frac{\frac { \cos^2(\alpha)+\sin^2 (\alpha)}{\sin \alpha\cos \alpha}}{\sin\alpha\cos\alpha}$