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

question 94

Short Answer

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:

Midline

An imaginary line that divides the body into equal left and right halves.

Palmaris Brevis

A small muscle in the palm of the hand that assists with gripping and manipulating objects.

Distal Phalanx

The bone at the tip of each finger and toe, forming the end part of the digits.

Thumb

The first digit of the hand, distinct in its ability to rotate and oppose the other four fingers, allowing for a strong grip and fine manipulation skills.