Factor; Then Use Fundamental Identities to Simplify the Expression Below $$\csc ^ { 3 } x - \csc ^ { 2 } x - \csc x + 1$$

question 12

Multiple Choice

Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.
$$\csc ^ { 3 } x - \csc ^ { 2 } x - \csc x + 1$$

• A) \(\csc x \cot ^ { 2 } x - \cot ^ { 2 } x\)
• B) \(\cos ^ { 2 } x \left( \frac { 1 - \sin x } { \sin ^ { 3 } x } \right)\)
• C) \(\frac { \cos ^ { 4 } x } { \sin ^ { 3 } x + \sin ^ { 4 } x }\)
• D) \(\frac { 1 - \sin x - \sin ^ { 2 } x + \sin ^ { 3 } x } { \sin ^ { 3 } x }\)
• E) \(\frac { \sec ^ { 2 } x + \tan ^ { 2 } x } { \csc x }\)

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