Solve the Equation for Exact Solutions Over the Interval [0 $$[ 0,2 \pi )$$

question 51

Multiple Choice

Solve the equation for exact solutions over the interval [0, 2 $$[ 0,2 \pi )$$
- $\cos x = \sin x$

• A) \(\left\{ \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } \right\}\)
• B) \(\left\{ \frac { 3 \pi } { 4 } , \frac { 7 \pi } { 2 } \right\}\)
• C) \(\left\{ \frac { \pi } { 4 } , \frac { 5 \pi } { 4 } \right\}\)
• D) \(\left\{ \frac { \pi } { 4 } , \frac { 7 \pi } { 4 } \right\}\)

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Definitions:

Positive Correlation

A relationship between two variables where both variables move in tandem, meaning as one variable increases, the other increases as well.

Selection Criterion

The set of standards or qualifications used to evaluate and choose among candidates or options.

Valid

Acceptable, sound, or well-founded; often used in reference to arguments, claims, or data that are logically correct or empirically verifiable.

Observed Trends

Patterns or general directions in which a situation, behavior, or process is developing or changing based on empirical observations.