Find the Exact Value of the Expression A) $\frac { 3 } { 4 }$

question 40

Multiple Choice

Find the exact value of the expression. $\sin \left( \frac { \pi } { 6 } \right) \cos \left( \frac { \pi } { 3 } \right) + \sin \left( \frac { \pi } { 3 } \right) \cos \left( \frac { \pi } { 6 } \right)$

• A) \(\frac { 3 } { 4 }\)
• B) \(1\)
• C) \(\frac { \sqrt { 3 } } { 4 }\)
• D) \(\frac { 3 } { 2 }\)
• E) \(\frac { 1 } { 4 }\)

Understand the concept of power factor and its significance in RL circuits.

Calculate the total impedance of a series RL circuit.

Understand the importance of the sum of resistances in a series circuit and its practical applications.

Understand the calculation and significance of the phase angle in series RL circuits.

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Definitions:

Mean

To determine the arithmetic average, one sums up every number in the collection and divides by the number of elements in the collection.

Standard Deviation

An indicator that measures how much a set of data points spread out or diverge.

Z-Score

An index that quantifies how far a particular value stands from the dataset's mean, measured in units of standard deviations away from the mean.

Z-Scores

A measure that represents the number of standard deviations a data point is from the mean of the dataset.