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

question 45

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

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