Find the Exact Value by Using a Half-Angle Identity $\sin \frac { 7 \pi } { 8 }$

question 217

Multiple Choice

Find the exact value by using a half-angle identity.
- $\sin \frac { 7 \pi } { 8 }$

• A) \(- \frac { 1 } { 2 } \sqrt { 1 - \sqrt { 2 } }\)
• B) \(- \frac { 1 } { 2 } \sqrt { 2 - \sqrt { 2 } }\)
• C) \(\frac { 1 } { 2 } \sqrt { 1 - \sqrt { 2 } }\)
• D) \(\frac { 1 } { 2 } \sqrt { 2 - \sqrt { 2 } }\)

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Definitions:

Continuous Random

A variable that can take an infinite number of values within a given range, where the outcomes cannot be counted and can only be described using intervals on the real number line.

Weight

A measure of the heaviness of an object, often quantified using units such as pounds or kilograms.

Nature Of The Object

The term 'Nature Of The Object' refers to the inherent qualities, characteristics, and properties that define a particular object.

Binomial Probability

The probability of obtaining a specific number of successes in a fixed number of independent trials, with two possible outcomes.