What is the range of f(x) = sin(x)? the set of all real numbers the set of all real numbers the set of all real numbers the set of all real numbers.



Answer :

The range of function f(x) = sin(x) is the set of all real numbers lying between [-1, 1].

Define the function sin(x)?

Although they can sometimes be written as functions, the sine, cosine, and tangent of such an angle really are defined on the basis of trigonometry.

  • All real numbers fall inside the domain of the function f(x) = sin x, but its range equals −1 ≤ sin x ≤ 1.
  • If the angle is measured in degrees versus radians will affect the sine function's values.
  • The periodicity of the function is 360 degrees, or 2π radians.
  • As a result, sin x is just an odd function, and its algebraic expression is sin(x) =  −  sin x.
  • Using the aforementioned numerical tables, you can verify this truth.
  • When it comes to cos x, we could see that the graph has a symmetry axis along the y-axis, indicating that it's an even function that can be expressed algebraically;  cos(−x) = cos x.

Thus, range of function f(x) = sin(x) is the set of all real numbers lying between [-1, 1].

To know more about the function sin(x), here

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