If the domain and range of cosine function are [0, π] and [-1,1] respectively, then, it is

Question

If the domain and range of cosine function are [0, π] and [-1,1] respectively, then, it is (A) one-one (B) onto (C) both one-one and onto (D) None of the above

Tardigrade Admin · Accepted Answer

The cosine function is a function whose domain is the set of all real numbers and range is the set [-1,1]. If we restrict the domain of cosine function to [0 , π], then it becomes one-one and onto with range [-1,1].

Q. If the domain and range of cosine function are $[0, π]$ and $[- 1, 1]$ respectively, then, it is

one-one

onto

both one-one and onto

None of the above

The cosine function is a function whose domain is the set of all real numbers and range is the set $[- 1, 1]$ . If we restrict the domain of cosine function to $[0, π]$ , then it becomes one-one and onto with range $[- 1, 1]$ .

Q. If the domain and range of cosine function are [0,π] and [−1,1] respectively, then, it is