1.

The function f : X → Y defined by f(x) = cos x, where x ∈ X, is one-one and onto if X and Y are respectively equal to

A. [0, π] and [-1, 1]
B. \(\left[ { - \frac{{\rm{\pi }}}{2},\frac{{\rm{\pi }}}{2}} \right]\) and [-1, 1]
C. [0, π] and (-1, 1)
D. [0, π] and [0, 1]
Answer» B. \(\left[ { - \frac{{\rm{\pi }}}{2},\frac{{\rm{\pi }}}{2}} \right]\) and [-1, 1]


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