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Consider the function f(x) = sin(x) in the interval x ∈ [π/4, 7π/4]. The number and location(s) of the local minima of this function are

1. One, at π/2
2. One, at 3π/2
3. Two, at π/2 and 3π/2
4. Two, at π/4 and 3π/2

Correct answer: One, at 3π/2

Solution

The function f(x) = sin(x) has a local minimum at 3π/2 within the given interval, as this is the point where the sine function reaches its lowest value of -1, while there are no other local minima in the specified range.

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