If X = 2 Tan θ,Use Trigonometric Substitution to Write $\sqrt { 4 + x ^ { 2 } }$

question 11

Multiple Choice

If x = 2 tan θ,use trigonometric substitution to write $\sqrt { 4 + x ^ { 2 } }$ as a trigonometric function of θ,where $0 < \theta < \frac { \pi } { 2 }$ . ​

• A)​2 cos θ
• B)​2 tan θ
• C)​2 sin θ
• D)​2 sec θ
• E)​2 csc θ

---

Definitions:

Blue Currency

Informal term possibly referring to a foreign currency held in accounts outside the country of origin, often in a stronger, more stable currency.

Ambrosia

In classical mythology, the food of the gods, believed to convey immortality; in contemporary contexts, a type of fruit salad.

Bubble Gum

A kind of bubble gum made to be blown into a bubble outside the mouth.

Income

Earnings received by individuals or entities, typically through wages, investments, or other sources.