Question

How do you get t=16+32n from 1=sin(pi/16t-pi/2)? I'm looking at the solution and need a little clarification, don't need the completed answers.

Original Equation: h(t)=55+50sin(pi/16t-pi/2).
If the ride lasts 100 seconds, at what time(s) will a person be at the top of the ride?
105=55+50sin(pi/16t-pi/2)
50=50sin(pi/16t-pi/2)
1=sin(pi/16t-pi/2)
t=16+32n

Answer 1

When does sin(x) = 1?