Question

WILL AWARD MEDAL!
Find if possible, the absolute maximum and minimum values of the given function on the indicated interval.
f(x)=sin(x+pi/2) on (0, 7pi/4)

Steps please!

Answer 1

hmm.... is the (0,7pi/4) a co-ordinate?

Answer 2

does it help to know that \[\sin(x+\frac{\pi}{2})=\cos(x)\]?

Answer 3

you know you have to be a bit careful here

Answer 4

if it is the open interval \((0,\frac{7\pi}{4})\) the function \(\cos(x)\) actually has no maximum value

Answer 5

since it approaches 1 at \(x=0\) but \(0\) is not in the interval
so the correct answer would be "minimum value is \(-1\), but no maximum value"

Answer 6

Hi can you help me with the steps @satellite73 and the answer that was given with the problem is maximum value f(0)=1; minimum value of f(pi)=-1