Answer:
[tex]a) \ sin(x - \frac{\pi }{2})[/tex]
Step-by-step explanation:
You can does a horizontal shift to the [tex]sin[/tex] function.
- [tex]f(x - c)[/tex] shift the graph [tex]c[/tex] units to the right
- [tex]f(x + c)[/tex] shift the graph [tex]c[/tex] units to the left
Beside we know that when [tex]sin(0) = -1[/tex] then the only option that produce the desire result is the [tex]a[/tex] option because
