Use Identities to Find the Exact Value $\sin 4 x$ A) $\cos ^ { 3 } x - 3 \sin ^ { 2 } x \cos x$

question 41

Multiple Choice

Use Identities to find the exact value.
Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression.
- $\sin 4 x$

• A) \(\cos ^ { 3 } x - 3 \sin ^ { 2 } x \cos x\)
• B) \(1 - 8 \sin ^ { 2 } x \cos ^ { 2 } x\)
• C) \(4 \sin x \cos ^ { 3 } x - 4 \sin ^ { 3 } x \cos x\)
• D) \(3 \sin x - 4 \sin ^ { 3 } x\)

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Definitions:

Mode

The value appearing with the greatest frequency in a dataset.

Median

The middle value in a list of numbers sorted in ascending or descending order, or the average of the two middle numbers when the list has an even number of values.

Mathematical Average

The sum of a list of numbers divided by the count of numbers in the list, commonly referred to as the mean.

Median

The middle value in a data set when it is arranged in ascending or descending order, effectively dividing the data set in half.