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

question 65

Multiple Choice

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

• A) \(x = \frac { \pi } { 4 }\), \(x = \frac { 5 \pi } { 4 }\)
• B) \(x = \frac { 3 \pi } { 4 }\), \(x = \frac { 5 \pi } { 4 }\)
• C) \(x = \frac { \pi } { 4 }\), \(x = \frac { 7 \pi } { 4 }\)
• D) \(x = \frac { 5 \pi } { 4 }\), \(x = \frac { 7 \pi } { 4 }\)
• E) none

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Definitions:

Population Differences

Variations between groups of organisms of the same species, which may be due to genetic factors, environmental conditions, or both, and can lead to adaptations.

Developmental Explanation

An approach explaining behaviors or traits by understanding the changes that occur in an organism from birth to maturation.

Environmental Determination

The process by which the environment shapes and influences the development and traits of organisms.

Genetic Control

The regulation of an organism's development, behavior, and physiology through its genetic composition.