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_
Related questions
Simplifying an equation, a student reaches a statement that can never be true. The equatioAfter squaring both sides of a radical equation, a student finds a root that fails the oriSolving such an equation, a student clears every denominator at once by multiplying througAn equation contains at least one rational expression, with a variable in a denominator. TTo clear a complex number from a denominator, a student multiplies by the term found by flComplex numbers cannot sit on an ordinary number line, so they are plotted on a plane whosRather than drawing a number line, a student writes the solution set with brackets and parA statement joins two inequalities together in one line, such as 2 < x < 7. That statement