Complete the Identity $\frac { \sin ( 2 \theta ) + 2 \sin ^ { 2 } \theta } { \cos ( 2 \theta ) } = ?$

question 314

Multiple Choice

Complete the identity.
- $\frac { \sin ( 2 \theta ) + 2 \sin ^ { 2 } \theta } { \cos ( 2 \theta ) } = ?$

• A) \(\frac { \tan ( 2 \theta ) + \tan ^ { 2 } \theta } { \sec ( 2 \theta ) }\)
• B) \(2 \tan \theta + 2\)
• C) \(\frac { 2 \tan \theta } { 1 - \tan \theta }\)
• D) \(\tan ( 2 \theta ) + 2 \tan ^ { 2 } \theta\)

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Definitions:

Average Total Cost

The total cost of production divided by the quantity of output produced; it includes all fixed and variable costs.

Average Total Cost

The total cost of production divided by the quantity produced, indicating the average cost per unit of output.

Marginal Cost

The added expense incurred from producing an additional unit of a good or service.

Average Total Cost

The total cost of production (fixed plus variable costs) divided by the total amount of output produced, indicating the cost per unit of output.