Write the Expression as the Sine, Cosine, or Tangent of a Double

question 57

Multiple Choice

Write the expression as the sine, cosine, or tangent of a double angle. Then find the exact value of the expression.
- $$\frac { 2 \tan \frac { 7 \pi } { 12 } } { 1 - \tan ^ { 2 } \frac { 7 \pi } { 12 } }$$

• A) \(\frac { \sqrt { 3 } } { 3 }\)
• B) \(- \frac { \sqrt { 3 } } { 3 }\)
• C) \(\sqrt { 3 }\)
• D) \(- \sqrt { 3 }\)

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Definitions:

Anti-inflammatory

Relating to the reduction of inflammation or swelling, often referring to drugs or natural remedies that reduce pain and inflammation in the body.

Immunity

The ability of an organism to resist harmful microorganisms from entering it, either through innate or adaptive mechanisms.

Vaccine

A biological preparation that provides active acquired immunity to a particular infectious disease, often containing agents resembling a disease-causing microorganism.

Artificially Acquired Active

Refers to immunity obtained through vaccination, where exposure to a weakened or dead pathogen stimulates the body's immune response.