Use Inverse Functions Where Needed to Find All Solutions (If $2 \cos ^ { 2 } x - \cos x - 1 = 0$

question 42

Multiple Choice

Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval [0,2π) .​ $2 \cos ^ { 2 } x - \cos x - 1 = 0$ ​

• A)​ \(x = \frac { \pi } { 3 } , \frac { 2 \pi } { 3 }\)
• B) \(x = 0 , \frac { 2 \pi } { 3 } , \frac { 4 \pi } { 3 }\)
• C) \(x = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 }\)
• D) \(x = \frac { \pi } { 3 } , \pi , \frac { 5 \pi } { 3 }\)
• E)​solution does not exist

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