Solve the Equation (X in Radians and in Degrees) for All

question 112

Multiple Choice

Solve the equation (x in radians and in degrees) for all exact solutions where appropriate. Round approximate answers
in radians to four decimal places and approximate answers in degrees to the nearest tenth.
- $2 \sin ^ { 2 } x + \sin x = 1$

• A) \(\left\{ \frac { \pi } { 2 } + 2 n \pi , \frac { 5 \pi } { 6 } + 2 n \pi , \frac { 3 \pi } { 2 } + 2 n \pi \right\}\)
• B) \(\left\{ \frac { \pi } { 6 } + 2 n \pi , \frac { 3 \pi } { 2 } + 2 n \pi \right\}\)
• C) \(\left\{ \frac { \pi } { 6 } + 2 n \pi , \frac { 5 \pi } { 6 } + 2 n \pi \right\}\)
• D) \(\left\{ \frac { \pi } { 6 } + 2 n \pi , \frac { 5 \pi } { 6 } + 2 n \pi , \frac { 3 \pi } { 2 } + 2 n \pi \right\}\)

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Definitions:

Direct Contact

A way of spreading infectious agents through physical touch or being within close proximity to someone or something.

Representative Sample

A group within a population that accurately depicts the features of the total population.

Generalizable

The extent to which findings or results from a study can be applied to larger populations or different contexts beyond the original study.

Replication

The process of repeating a study or experiment to verify its findings or to ensure the reliability of the results.