Find All Solutions of the Given Equation in the Interval $$\frac { 1 } { 2 } \sin 2 x = \cos x$$

question 28

Multiple Choice

Find all solutions of the given equation in the interval [0,2π) . ​​ $$\frac { 1 } { 2 } \sin 2 x = \cos x$$ ​

• A)​ \(x = \frac { \pi } { 2 } , \frac { 3 \pi } { 2 }\)
• B)​ \(x = 0 , \frac { \pi } { 2 } , \pi\)
• C)​ \(x = 0 , \pi , \frac { \pi } { 2 } , \frac { 3 \pi } { 4 }\)
• D)​ \(x = 0 , \pi\)
• E)​x = 0