5 t values used to graph (called key pts or inflection pts) and primary cycle?

1) y=2sin(x-pi)
2) y=-sin3x-2
3) -3cos(1/2x+pi/3)+1
4) cospi(x-1)

Please state your question more clearly. What do you mean by "t values" and "primary cycle"?

I have never heard of inflection points referred to as "key points", or vice versa.