Solve the Equation (X in Radians And $$\boldsymbol { \theta }$$

question 409

Multiple Choice

Solve the equation (x in radians and $$\boldsymbol { \theta }$$ in degrees) for all exact solutions where appropriate. Round approximate answers
in radians to four decimal places and approximate answers in degrees to the nearest tenth.
- $2 \sin ^ { 2 } x + \sin x = 1$

• A) \(\left\{ \frac { \pi } { 2 } + 2 n \pi , \frac { 5 \pi } { 6 } + 2 n \pi , \frac { 3 \pi } { 2 } + 2 n \pi \right\}\)
• B) \(\left\{ \frac { \pi } { 6 } + 2 n \pi , \frac { 5 \pi } { 6 } + 2 n \pi \right\}\)
• C) \(\left\{ \frac { \pi } { 6 } + 2 n \pi , \frac { 3 \pi } { 2 } + 2 n \pi \right\}\)
• D) \(\left\{ \frac { \pi } { 6 } + 2 n \pi , \frac { 5 \pi } { 6 } + 2 n \pi , \frac { 3 \pi } { 2 } + 2 n \pi \right\}\)

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