determine the values of a,b,c,and d for a sinusoidal equation in the form:

Question

y= a sin b(x-c)+d and y= a cos b(x-c)+d

using the max= 23.1 and min= -19.7 to determine the value.

how to determine the values?
thank you..

Answer 1

a = (max-min)/2
d=(max+min)/2

is period given in the problem?

Answer 2

how to find the value of C? and if you don't mind can you tell me the period too? thank you..