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The principal value of the range of f(x) = sin x is:
A[−1, 1]
B[0, 1]
C[−π/2, π/2]
DAll real numbers
Answer & Solution
Correct answer: A. [−1, 1]
1. sin x oscillates between −1 and 1 for all real x.
2. So its range is the closed interval [−1, 1].
3. The DOMAIN is all real numbers; period is 2π.
_Source: NCERT Class 11 Maths Ch 3 §3.2 Range of sin and cos_
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