Use Inverse Functions Where Needed to Find All Solutions (If $[ 0,2 \pi )$

question 34

Multiple Choice

Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval $[ 0,2 \pi )$ . $\cos ^ { 2 } x - 5 \sin x + 5 = 0$

• A) \(x = \frac { \pi } { 2 }\)
• B) \(x = \frac { \pi } { 6 } , \frac { 3 \pi } { 2 }\)
• C) \(x = 0 , \frac { \pi } { 3 } , \frac { 2 \pi } { 3 }\)
• D) solution does not exist
• E) \(x = \frac { 3 \pi } { 4 } , \frac { 7 \pi } { 4 }\)

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