Complete the Sentence So the Result Is an Identity $\tan \theta = \frac { 7 } { 24 } , \quad \sin \theta < 0 \quad$

question 122

Multiple Choice

Complete the sentence so the result is an identity. Let x be any real number.
- $\tan \theta = \frac { 7 } { 24 } , \quad \sin \theta < 0 \quad$ Find $\cos ( 2 \theta )$

• A) \(\frac { 527 } { 625 }\)
• B) \(\frac { 336 } { 625 }\)
• C) \(- \frac { 527 } { 625 }\)
• D) \(- \frac { 336 } { 625 }\)

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Definitions:

D-Altrose

A rare aldohexose sugar, a stereoisomer of D-glucose, found in its d-form.

L-Altrose

An aldohexose sugar that is a stereoisomer of the more common glucose, rarely found in nature.

Fischer Projection

A method of drawing organic molecules as a two-dimensional representation that allows visualization of the three-dimensional arrangement of substituents around chiral centers.

D-Erythrose

D-Erythrose is a four-carbon sugar (tetrose) with the chemical formula C4H8O4, known for being one of the simplest aldose carbohydrates.