Home > PC > Chapter 4 > Lesson 4.3.2 > Problem4-139

4-139.

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

1. $\text{csc }x - \text{sin }x = \text{cot }x \text{ cos }x$

1. Change all terms to sine and cosine.
2. Get a common denominator.

1. $\text{sec }x + \text{tan }x =\frac { 1 } { \operatorname { sec } x - \operatorname { tan } x }$

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