Find All Solutions to the Equation $$\sin ^ { 2 } x + \sin x = 0$$

question 13

Multiple Choice

Find all solutions to the equation.
- $$\sin ^ { 2 } x + \sin x = 0$$

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

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Definitions:

Cash Equivalents

Short-term, highly liquid investments that are readily convertible to known amounts of cash with original maturities of three months or less.