Find All Solutions to the Equation $$\cos ^ { 2 } x + 2 \cos x + 1 = 0$$

question 3

Multiple Choice

Find all solutions to the equation.
- $$\cos ^ { 2 } x + 2 \cos x + 1 = 0$$

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

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Definitions:

Homosexual Behavior

Actions that involve sexual activity between individuals of the same sex.

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An order of mammals that includes humans, apes, monkeys, and prosimians, characterized by large brains, forward-facing eyes, and opposable thumbs.

Mammals

Warm-blooded vertebrate animals characterized by the presence of mammary glands which, in females, produce milk for feeding their young.

Sexual Response Cycle

The series of psychological and physiological responses that comprise sexual arousal and activity, including stages such as excitement, plateau, orgasm, and resolution.