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

Question 29

Multiple Choice

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


A) 1tan2α1 - \tan ^ { 2 } \alpha
B) csc2α1csc2α\frac { \csc ^ { 2 } \alpha - 1 } { \csc ^ { 2 } \alpha }
C) csc2αsec2α+tan2αcsc2α\frac { \csc ^ { 2 } \alpha - \sec ^ { 2 } \alpha + \tan ^ { 2 } \alpha } { \csc ^ { 2 } \alpha }
D) 1tan2α1 - \tan ^ { 2 } \alpha .
E) cos2α\cos ^ { 2 } \alpha

Correct Answer:

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