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

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) $\left\{ \frac { \pi } { 4 } + 2 \mathrm { n } \pi , \frac { 3 \pi } { 4 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \right\}$

Correct Answer:

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