RangeHardQuestion 200048
Question
The range of f(x) = 2 sin x + 3 cos x is:
- A[−√13, √13]Correct
- B[−5, 5]
- C[−2, 3]
- D[−3, 3]
Correct answer
[−√13, √13]
Explanation
a sin x + b cos x has range [−√(a²+b²), √(a²+b²)]. Here: √(4+9) = √13. Range = [−√13, √13].