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

question 39

Multiple Choice

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

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

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Definitions:

Fundamental Analysis

A method of evaluating a security that involves attempting to measure its intrinsic value by examining related economic, financial, and other qualitative and quantitative factors.

Mispriced Securities

are financial instruments whose market price significantly deviates from their intrinsic value, due to information asymmetry, market inefficiencies, or other factors.

Stewards

Individuals or entities responsible for managing and protecting the resources or assets of others, often in the context of financial management or governance.

Reporting Incentives

Motivations or reasons for organizations to provide certain information in their financial reports, often aimed at portraying a favorable image to investors.