Use the Trigonometric Substitution to Select the Algebraic Expression as a Trigonomet-

question 11

Multiple Choice

Use the trigonometric substitution to select the algebraic expression as a trigonomet- ric function of $\theta$ , where $- \frac { \pi } { 2 } < \theta < \frac { \pi } { 2 } .$ . Then find $\sin \theta \text { and } \cos \theta$ $2 = \sqrt { 4 - x ^ { 2 } } , x = 2 \sin \theta$

• A) \(2 \cos \theta = 2 ; \sin \theta = 0 ; \cos \theta = 1\)
• B) \(2 \sin \theta = 2 ; \sin \theta = 0 ; \cos \theta = 1\)
• C) \(2 \cos \theta = 2 ; \sin \theta = 1 ; \cos \theta = 0\)
• D) \(4 \sin \theta = 2 ; \sin \theta = 0 ; \cos \theta = 1\)
• E) \(4 \cos \theta = 2 ; \sin \theta = 0 ; \cos \theta = 1\)

---

Definitions:

Terminal Goal

The ultimate objective or aim that one strives to achieve in a specific domain or over the course of a project.

Behaviour Modification Programs

A planned, systematic approach to changing behavior, typically involving the application of principles of operant conditioning, positive reinforcement, and sometimes punishment.

Frequency Of Reinforcers

Refers to how often the reinforcement is given in operant conditioning, affecting the speed and strength of the learning process.

Antecedent

An event or occurrence that precedes and influences the behavior, often used in behavior analysis and psychology.