Find All Solutions to the Equation $4 \sin ^ { 2 } x - 4 \sin x + 1 = 0$

question 34

Multiple Choice

Find all solutions to the equation.
- $4 \sin ^ { 2 } x - 4 \sin x + 1 = 0$

• A) \(\left\{ \frac { \pi } { 6 } + 2 \mathrm { n } \pi , \frac { 7 \pi } { 6 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \right\}\)
• B) \(\left\{ \frac { \pi } { 6 } + 2 \mathrm { n } \pi , \frac { 5 \pi } { 6 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \right\}\)
• C) \(\left\{ \frac { \pi } { 3 } + 2 \mathrm { n } \pi , \frac { 5 \pi } { 3 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \right\}\)
• D) \(\left\{ \frac { \pi } { 6 } + 2 \mathrm { n } \pi , \frac { 11 \pi } { 6 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \right\}\)

---

Definitions:

American Planes

Refers to aircraft manufactured in the United States, often highlighting their role in military and civilian aviation history.

World War II

A global military conflict that took place from 1939 to 1945, involving most of the world's nations, including all of the great powers, eventually forming two opposing military alliances: the Allies and the Axis.

The Feminine Mystique

A book by Betty Friedan that criticized the societal expectation for women to find fulfillment primarily through housework, marriage, and motherhood.

Termination Policy

A U.S. policy from the early 1950s to the late 1960s aimed at assimilating Native Americans into mainstream society by ending the recognition of tribal sovereignty and terminating the government's responsibility for Indian welfare.