Use the Given Information to Find the Exact Value of the Expression

question 129

Multiple Choice

Use the given information to find the exact value of the expression.
- $\sin \alpha = \frac { 24 } { 25 } , \alpha$ lies in quadrant II, and $\cos \beta = \frac { 2 } { 5 } , \beta$ lies in quadrant $\mathrm { I } \quad$ Find $\cos ( \alpha - \beta )$ .

• A) \(\frac { - 14 + 24 \sqrt { 21 } } { 125 }\)
• B) \(\frac { 48 + 7 \sqrt { 21 } } { 125 }\)
• C) \(\frac { 48 - 7 \sqrt { 21 } } { 125 }\)
• D) \(\frac { 14 - 24 \sqrt { 21 } } { 125 }\)

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Definitions:

Final Methods

Methods in Java that cannot be overridden by subclasses, ensuring consistent behavior across different implementations.

Declared Final

A keyword in programming that indicates a variable, method, or class cannot be modified after it is defined.

Polymorphism

A concept in object-oriented programming that allows objects of different classes to be treated as objects of a common super class.