### Home > PC3 > Chapter 10 > Lesson 10.2.3 > Problem10-146

10-146.

This problem is a checkpoint for simplifying trigonometric expressions and verifying trigonometric identities.

Simplify:

1. $(\csc(x) + \cot(x))(1 - \cos(x))$

1. $\frac { \operatorname { cos } ( x ) } { \operatorname { sec } ( x ) } + \frac { \operatorname { sin } ( x ) } { \operatorname { csc } ( x ) }$

1. Verify: $\frac { \sin ( x ) } { 1 + \cos ( x ) } + \frac { 1 + \cos ( x ) } { \sin ( x ) }= 2 \csc(x)$

Ideally at this point you are comfortable working with these types of problems and can complete them correctly. If you feel that you need more confidence when completing these types of problems, then review the Trigonometric Expressions and Identities Trigonometric Expressions and Identities Checkpoint materials available at cpm.org and try the practice problems provided. From this point on, you will be expected to do problems like these correctly and with confidence.

Answers and extra practice for the Checkpoint problems are located in the Reference Tab of your eBook.
Click the following link: Trigonometric Expressions and Identities