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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