Solve the Equation in the Interval $[ 0,2 \pi )$ $\tan x \cos x - \cos x = 0$

question 21

Multiple Choice

Solve the equation in the interval $[ 0,2 \pi )$ . $\tan x \cos x - \cos x = 0$

• A) \(x = \frac { \pi } { 4 }\), \(x = \frac { \pi } { 2 }\)
• B) \(x = 0\), \(x = \frac { \pi } { 2 }\), \(x = \frac { 3 \pi } { 4 }\), \(x = \frac { 5 \pi } { 4 }\)
• C) \(x = 0\), \(x = \frac { \pi } { 2 }\), \(x = \frac { 3 \pi } { 4 }\)
• D) \(x = \frac { \pi } { 2 }\), \(x = \frac { 3 \pi } { 4 }\), \(x = \frac { 5 \pi } { 4 }\)
• E) none of these

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Definitions:

Categorization

The cognitive process of organizing information by placing it into categories based on common features or characteristics.

Group Attribution Error

The tendency to overemphasize dispositional or personality-based explanations for the behavior of individuals in a group, while underestimating the role of external factors.

Stereotyped Thinking

The practice of having oversimplified and generalized beliefs about certain groups or categories of people.

Law of Small Numbers

A cognitive bias that leads people to infer or generalize outcomes from a small sample size, mistakenly treating it as representative of a larger population.