Complete the Identity $\tan ^ { 4 } \theta - \sec ^ { 4 } \theta =$

question 117

Multiple Choice

Complete the identity.
- $\tan ^ { 4 } \theta - \sec ^ { 4 } \theta =$ ?

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

---

Definitions:

Total Utility

The total satisfaction or benefit received by consuming a given total quantity of a good or service.

Utils

A theoretical unit of measurement used in economics to represent satisfaction or utility obtained by consuming goods and services.

Income Effect

Changes in economic or personal income and the resulting impact on how much of a product or service is sought after.

Substitution Effect

The change in consumption patterns due to a change in relative prices, leading consumers to substitute away from more expensive goods toward cheaper ones.