Consider the function f(x)=sin(x+7π/4)−sin(x−7π/4) over the interval [0,2π ). Simplify the formula of this function and find its minimum value on this interval.
a. Simplified formula: f(x) = -2cos(x)
Minimum value on interval: -2

b. Simplified formula: f(x) = 2sin(x)
Minimum value on interval: 0

c. Simplified formula: f(x) = -2sin(x)
Minimum value on interval: -2

d. Simplified formula: f(x) = 2cos(x)
Minimum value on interval: 0