Find the Absolute Extreme Values of the Function on the Interval

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 $\theta = \pi$