The function y=sin(x-p)+d has a vertical translation of -3 and passes through the point (pi/6, -2). Determine the values of p and d
My attempt
d= -3
-2= sin (pi/6 - p) -3
1 = 1/2 - sinp
1-1/2= - sinp
1/2= - sinp
-1/2= sinp
The question didn't specify a domain so how would I find the value of p?