Provide an Appropriate Response $\cos 2 \theta = \sqrt { 3 }$

question 76

Essay

Provide an appropriate response.
-Explain what is wrong with the following solution for the equation $\cos 2 \theta = \sqrt { 3 }$ in the interval $[ 0,2 \pi )$ .
$$\begin{array} { l } \cos 2 \theta = \sqrt { 3 } \\\cos \theta = \frac { \sqrt { 3 } } { 2 } \\\theta = \frac { \pi } { 6 } \text { or } \theta = \frac { 11 \pi } { 6 }\end{array}$$

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Definitions:

William Stern

A psychologist known for his work in intelligence and the development of the intelligence quotient (IQ) formula.

Intelligence Quotient

A measure of a person's intelligence as indicated by an intelligence test, expressed as a ratio of the individual's mental age to their chronological age then multiplied by 100.

Charles Spearman

A psychologist known for his work in statistics and intelligence, including the concept of general intelligence, or "g factor."

Intelligence

The ability to learn, understand, and apply knowledge and skills, solve problems, and adapt to new situations.