Use Fundamental Identities to Simplify the Expression Below and Then $\cos \alpha ( \sec \alpha - \cos \alpha )$

question 87

Multiple Choice

Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. $\cos \alpha ( \sec \alpha - \cos \alpha )$

• A) \(\frac { \csc ^ { 2 } \alpha - \sec ^ { 2 } \alpha + \tan ^ { 2 } \alpha } { \csc ^ { 2 } \alpha }\)
• B) \(1 - \sin ^ { 2 } \alpha\)
• C) \(\frac { \csc ^ { 2 } \alpha - 1 } { \csc ^ { 2 } \alpha }\)
• D) \(1 - \cos ^ { 2 } \alpha\)
• E) \(1 - \cot ^ { 2 } \alpha\)

---

Definitions:

Stock Exchange

A physical place in which stocks are traded by brokers on behalf of their investor clients.

Securities

Financial instruments that represent some form of financial value such as stocks, bonds, or options, which can be bought and sold.

"Go Public"

The process by which a privately-held company offers its shares for sale to the public for the first time, typically through an initial public offering (IPO).

Red Herring

A prospectus for the sale of a security not yet approved by the SEC. Stamped with the word preliminary in red letters.