Solve the Following Equation $2 \tan ^ { 2 } 3 x = 6$

question 39

Multiple Choice

Solve the following equation.​ $2 \tan ^ { 2 } 3 x = 6$ ​

• A) \(\frac { 4 \pi } { 3 } + n \pi , \frac { 2 \pi } { 3 } + n \pi\)
• B)​ \(\frac { \pi } { 2 } + n \pi , \frac { 2 \pi } { 5 } + n \pi\)
• C)​ \(\frac { 2 \pi } { 3 } + n \pi , \frac { 2 \pi } { 3 } + n \pi\)
• D)​ \(\frac { \pi } { 9 } + \frac { n \pi } { 3 } , \frac { 2 \pi } { 9 } + \frac { n \pi } { 3 }\)
• E)​ \(\frac { \pi } { 3 } + n \pi , \frac { \pi } { 3 } + n \pi\)

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Definitions:

Observations

Individual data points or recorded values from an experiment or study.

Geometric Mean

A type of mean or average, which indicates the central tendency of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum).

Weighted Mean

The mean of a data set that accounts for the importance or weight of each value.

Population Parameter

A numerical value that describes a characteristic of an entire population, such as its mean or standard deviation.