Pre Calc sin and cos problems?

1. select the pair of functions that have identical graphs
a) y=sin (x+ pi/2)
b)y=-cos(x-pi)
c)y=cos(x- pi/2)
can you please also explain why you got the answer you got?

and
2. A signal buoy bobs up and down with the height h of its transmitter (in ft) above sea level modeled by h=a sin bt +5
During a small squall its height varies from 1 to 9 ft and there are 3.5 sec from one 9-ft heights to the next. What are the values of the constants a and b?
 
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