what is the range of f(x) = sin(x)?\no the set of all real numbers -2π≤y≤2π\no the set of all real numbers…
what is the range of f(x) = sin(x)?\no the set of all real numbers -2π≤y≤2π\no the set of all real numbers -1≤y≤1\no the set of all real numbers 0≤y≤2π\no the set of all real numbers
Answer
Explanation:
Step1: Recall sine - function properties
The sine function (y = \sin(x)) is a periodic function with period (2\pi). Its graph oscillates between - 1 and 1.
Step2: Determine the range
The minimum value of (y=\sin(x)) is - 1 and the maximum value is 1. So the range is the set of all real numbers (y) such that (-1\leq y\leq1).
Answer:
the set of all real numbers (-1\leq y\leq1)