Make the Indicated Trigonometric Substitution in the Given Algebraic Expression $0 \leq x \leq \pi / 2$

question 58

Essay

Make the indicated trigonometric substitution in the given algebraic expression and simplify. Assume that $0 \leq x \leq \pi / 2$ $\sqrt { x ^ { 2 } - 4 } , \quad x = 2 \sec \theta$

---

Definitions:

Groupthink

A psychological phenomenon where the desire for group consensus overrides individuals' ability to evaluate alternatives critically.

Advertising Agency

A service-based business dedicated to creating, planning, and handling advertising and sometimes other forms of promotion for its clients.

Nutrition Bar

A snack bar designed to provide nutritional value, often used as a meal replacement or supplement.

Team Management

The process of leading a group of individuals to achieve a common goal through planning, organizing, and controlling.