Complete the Identity $$\cos ( 4 \theta ) = \text { ? }$$

question 50

Multiple Choice

Complete the identity.
- $$\cos ( 4 \theta ) = \text { ? }$$

• A) \(3 \sin \theta - 4 \sin ^ { 3 } \theta\)
• B) \(\cos ^ { 4 } \theta - 6 \sin ^ { 2 } \theta \cos ^ { 2 } \theta + \sin ^ { 4 } \theta\)
• C) \(4 \sin \theta \cos ^ { 3 } \theta - 4 \sin ^ { 3 } \theta \cos \theta\)
• D) \(\cos ^ { 3 } \theta - 3 \sin ^ { 2 } \theta \cos \theta\)

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Definitions:

Probability Distribution

A function in mathematics that determines the probability of each possible outcome in an experimental scenario.

Random Variable

A variable whose possible values are outcomes of a random phenomenon.

V(X + Y)

The variance of the sum of two random variables, considering both their individual variances and covariance.

V(X)

The variance of a random variable X, representing the expectation of the squared deviation of X from its mean.