Question

Hi i need some help what is the minimum value for x so this expression http://prntscr.com/35kse7 reaches its maximum value?

Answer 1

does that say 'sen'?

Answer 2

yeah

Answer 3

sin

Answer 4

it's a sin funtion

Answer 5

ok so we have \[y=sin(\frac{\pi x}{2})\]

Answer 6

yeah

Answer 7

alright, so if we just had sin x, what are the bounds on it?

Answer 8

hmm

Answer 9

begins on 0 to 1 then -1?

Answer 10

good so what is the max y value for sin x?

Answer 11

1 and -1?

Answer 12

just the maximum, not the minimum and for what x does that first occur?

Answer 13

1?

Answer 14

yea, thats the highest sine can get right? so what you need to know is 1=sin(?)

Answer 15

hmm 1= sin ?

Answer 16

yea, so what angle has a sin of 1?

Answer 17

hmmm 0.084?

Answer 18

in deg

Answer 19

uhm... chances are no

Answer 20

just draw a unit circle

Answer 21

oh i see
is it pi/2 ?

Answer 22

it should be much simpler

Answer 23

yes, it is pi/2

Answer 24

yeah so that the maximun value on x for 1

Answer 25

so now, we know that for just x the first time we hit our max occurs at x=pi/2 so in sin(pi x/2) what x value yeilds our maximum

Answer 26

it would be pi

Answer 27

are you sure?

Answer 28

not really im just guessing, i dont know how the graph pf that funtion would be like

Answer 29

I'm sorry could you use a full sentence. I don't understand

Answer 30

how would be the graph of y=sin(pix/2)?

Answer 31

you don't need that

Answer 32

oh really

Answer 33

if I said u=pix/2 then asked you what the maximum value for sin(u) is, could you do that?

Answer 34

so the maximum value would be pi/2??

Answer 35

if you know what sine looks like that's all that matters

Answer 36

no... what does sine look like?

Answer 37

just sin(x) that's it