Find the Absolute Extreme Values of the Function on the Interval

question 15

Multiple Choice

Find the absolute extreme values of the function on the interval.
- $$f ( \theta ) = \sin \left( \theta + \frac { \pi } { 2 } \right) , 0 \leq \theta \leq \frac { 7 \pi } { 4 }$$

• A) absolute maximum is 1 at \(\theta = \frac { 3 } { 2 } \pi\); absolute minimum is \(- 1\) at \(\theta = \frac { 1 } { 2 } \pi\),
• B) absolute maximum is 1 at \(\theta = \frac { 1 } { 2 } \pi\); absolute minimum is \(- 1\) at \(\theta = \frac { 1 } { 2 } \pi\),
• C) absolute maximum is 1 at \(\theta = \frac { 1 } { 2 } \pi\); absolute minimum is \(- 1\) at \(\theta = \frac { 1 } { 2 } \pi\)
• D) absolute maximum is 1 at \(\theta = 0\); absolute minimum is \(- 1\) at \(\theta = \pi\)

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