Factor;then Use Fundamental Identities to Simplify the Expression Below and Determine

question 44

Multiple Choice

Factor;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.​ $\cot ^ { 2 } \alpha - \cot ^ { 2 } \alpha \cos ^ { 2 } \alpha$

• A)​ \(\cos ^ { 2 } \alpha\)
• B)​ \(\sin ^ { 2 } \left( \frac { \pi } { 2 } - \alpha \right)\)
• C)​ \(1 - \sin ^ { 2 } \alpha\)
• D)​ \(\cot ^ { 2 } \alpha\)
• E)​ \(\frac { 1 } { \sec ^ { 2 } \alpha }\)

---

Definitions:

Communist Party

A political party advocating for the principles of communism, including the abolition of private property and the establishment of a classless society.

Agrarian Lifestyle

A way of life centered around agriculture and farming, often characterized by a strong connection to the land and rural communities.

Religious Beliefs

The faith-based principles and convictions that individuals or groups hold regarding spiritual matters and divine entities.

Temperance Movement

A social and political campaign in the 19th and early 20th centuries aimed at reducing the consumption of alcoholic beverages or advocating for total abstinence.