If X = 5 Sin θ,Use Trigonometric Substitution to Write $\sqrt { 25 - x ^ { 2 } }$

question 40

Multiple Choice

If x = 5 sin θ,use trigonometric substitution to write $\sqrt { 25 - x ^ { 2 } }$ as a trigonometric function of θ,where $- \frac { \pi } { 2 } < \theta < \frac { \pi } { 2 }$ .

• A)​5 sin θ
• B)​5 cos θ
• C)​5 tan θ
• D)​5 csc θ
• E)​5 sec θ

---

Definitions:

Compulsions

Repetitive actions or rituals that an individual feels driven to perform, often in response to obsessive thoughts, aimed at reducing anxiety or preventing a dreaded event or situation.

Phobic Reaction

An intense and irrational fear response to a specific object, situation, or activity, leading to avoidance behavior.

Enlarged Brain Ventricles

A condition where the fluid-filled spaces in the brain, known as ventricles, are abnormally large.

Mood Disorders

A category of mental disorders involving persistent disturbance in mood, such as depression or bipolar disorder.