Complete the Identity $$\frac { \sin ( 4 \theta ) + \sin ( 8 \theta ) } { \cos ( 4 \theta ) + \cos ( 8 \theta ) } = ?$$

question 208

Multiple Choice

Complete the identity.
- $$\frac { \sin ( 4 \theta ) + \sin ( 8 \theta ) } { \cos ( 4 \theta ) + \cos ( 8 \theta ) } = ?$$

• A) \(\tan ( 4 \theta ) + \tan ( 8 \theta )\)
• B) \(\tan ( 6 \theta )\)
• C) \(\tan ( 6 \theta ) \cot ( 2 \theta )\)
• D) \(2 \tan ( 6 \theta ) \tan ( 2 \theta )\)

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Definitions:

Cube

A three-dimensional shape with six square faces, all of identical size, and eight vertices.

Competitive Firm

A company that operates in a market with many sellers and buyers, where no single entity can influence the market price.

Warehouse Space

A designated area used for storing goods in order to ensure their preservation, organization, or security before distribution.

Perfectly Competitive Industry

An industry structure where many firms produce identical products, entry and exit are easy, and no single firm can influence the market price.