Find All Solutions to the Equation $5 \sin ^ { 2 } x - 10 \sin x + 8 = 3$

question 122

Multiple Choice

Find all solutions to the equation.
- $5 \sin ^ { 2 } x - 10 \sin x + 8 = 3$

• A) \(\left\{ \frac { \pi } { 2 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \right\}\)
• B) \(\{ \mathrm { n } \pi | \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \rangle\)
• C) \(\left\{ \frac { \pi } { 2 } + \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \right\}\)
• D) \(\left\{ \frac { \pi } { 4 } + 2 \mathrm { n } \pi , \frac { 3 \pi } { 4 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \right\}\)

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Definitions:

Rule of Five

A statistical rule of thumb asserting that normal approximation can be used if an expected frequency is 5 or more in all categories of a binomial distribution.

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A statistical test to determine if observed data deviates significantly from the expected distribution.

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The statistical spread or pattern of grades received by students in a course or examination.

Significance Level

The probability threshold below which the null hypothesis is rejected in a statistical test, indicating the results are statistically significant.