Complete the Identity $\sec ( \alpha + \beta ) \sec ( \alpha - \beta ) = ?$

question 374

Multiple Choice

Complete the identity.
- $\sec ( \alpha + \beta ) \sec ( \alpha - \beta ) = ?$

• A) \(\frac { \sec \alpha \sec \beta } { \cos ^ { 2 } \alpha - \sin ^ { 2 } \beta }\)
• B) \(\frac { 1 } { \cos ^ { 2 } \alpha - \cos ^ { 2 } \beta }\)
• C) \(\frac { \sec ^ { 2 } \alpha \sec ^ { 2 } \beta } { 1 - \tan ^ { 2 } \alpha \tan ^ { 2 } \beta }\)
• D) \(\sec ^ { 2 } \alpha - \sec ^ { 2 } \beta\)

---

Definitions:

Designing

The process of creating a plan or proposal to develop new objects, systems, or processes, tailored to meet specific needs or objectives.

Questionnaire

A research instrument consisting of a series of questions for the purpose of gathering information from respondents.

Important Points

Key or significant facts, issues, or figures that are crucial in understanding or analyzing a situation.

Cluster Sample

A sampling method where the population is divided into groups, or clusters, and a random sample of these clusters is selected for study.