Use an Identity to Write the Expression as a Single $\sin ^ { 2 } x + \sin ^ { 2 } x \cot ^ { 2 } x$

question 243

Multiple Choice

Use an identity to write the expression as a single trigonometric function or as a single number.
- $\sin ^ { 2 } x + \sin ^ { 2 } x \cot ^ { 2 } x$

• A) \(\cot ^ { 2 } x - 1\)
• B) \(\sin ^ { 2 } x + 1\)
• C) 1
• D) \(\cot ^ { 2 } x + 1\)

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Definitions:

Ethyl Acetoacetate

An organic compound used as a reagent in the synthesis of various compounds, characterized by the presence of both ester and keto functional groups.

Sodium Ethoxide

A strongly basic compound formed from the reaction of ethanol and sodium, used as a nucleophile in organic synthesis.

Dilute Acid

An acid solution that has a low concentration of acid in a large amount of solvent, typically water.

Malonic Ester

A compound characterized by having two ester groups attached to the same carbon, which is notable for its use in malonic ester synthesis, allowing the construction of carboxylic acids.