The values of a and b are π/2 and -1, respectively
How to determine the values of a and b?
The parent function of a sine function is:
y = sin(x)
When the function is shifted left by π/2 units, it becomes
y = sin(x + π/2)
When the function is shifted down by 1 unit, it becomes
y = sin(x + π/2) - 1
This means that the graph of y = sin(x + π/2) - 1 is the sine graph shifted left and down by π/2 and 1 unit respectively.
By comparing y = sin(x + π/2)° - 1 and y = sin(x + a)° + b, we have:
a = π/2 and b = -1
Hence, the values of a and b are π/2 and -1, respectively
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