Factor;then Use Fundamental Identities to Simplify the Expression Below and Determine

question 15

Multiple Choice

Factor;then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. ​​ $$\cot ^ { 2 } \alpha + \cot ^ { 2 } \alpha \cdot \tan ^ { 2 } \alpha$$

• A)​ \(\csc ^ { 2 } \alpha\)
• B)​ \(1 + \cot ^ { 2 } \alpha\)
• C)​ \(\sec ^ { 2 } \alpha\)
• D)​ \(1 / \cos ^ { 2 } \left( \frac { \pi } { 2 } - \alpha \right)\)
• E)​ \(\frac { 1 } { 1 - \cos ^ { 2 } \alpha }\)

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Definitions:

Eye Muscles

The six muscles attached to the outside of each eyeball that control eye movement and allow the eyes to track moving objects.

Blepharoptosis

A condition where there is drooping or falling of the upper eyelid.

Eyelid

A fold of skin that covers and protects the eye.

Macular Degeneration

A medical condition which may result in blurred or no vision in the center of the visual field due to damage to the macula.