Table of Contents
How do you find the domain and range of a sine function?
Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 . The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .
What is not the range of the sine function?
Range of a Function The range of common trigonometry functions such as the sine and cosine function ranges from -1 to +1 as evident from its graph, as shown below. Thus, we cannot fin the inverse sine function of any value outside this range.
What is the range of cosine and sine function?
The range of both the sine and cosine functions is [−1,1]. The sine and cosine of an angle have the same absolute value as the sine and cosine of its reference angle.
What is the domain and range of sin and cos?
Trigonometric Functions
| Function | Domain | Range |
|---|---|---|
| f(x) = sin ( x ) | (-∞ , + ∞) | [-1 , 1] |
| f(x) = cos ( x ) | (-∞ , + ∞) | [-1 , 1] |
| f(x) = tan ( x ) | All real numbers except π/2 + n*π | (-in , + ∞) |
| f(x) = sec ( x ) | All real numbers except π/2 + n*π | (-∞ , -1] U [1 , + ∞) |
How do you find the range of sine?
The function f(x) = sin x has all real numbers in its domain, but its range is −1 ≤ sin x ≤ 1. The values of the sine function are different, depending on whether the angle is in degrees or radians. The function is periodic with periodicity 360 degrees or 2π radians.
How do you find the range of a linear function?
Identify the set of all the y-coordinates in the function’s graph to determine the range. In this example, the range is {y ≥ -2}, since -2 is the lowest y-value and the arrow indicates the line continues upward. The boundary number of -2 is included, since the dot is solid.
How do you calculate the range of a function?
Finding the Range of a Function of a Relation Write down the relation. A relation is a set of ordered pairs with of x and y coordinates. List the y-coordinates of the relation. To find the range of the relation, simply write down all of the y-coordinates of each ordered pair: {-3, 6, -1, 6, 3}.
What are the intervals of sine function?
The domain of the sine and cosine functions is the set of all real numbers. The range of each function is the interval [–1, 1]. Each function has a period of 2. Sketch the graph of y = 2 sin x on the interval [–, 4].
What does range of a function mean?
The range of a function is the possible outputs that the function can give out. For example the function has the range from 0 to infinity, if we only talk about real numbers here. The only possible outputs are from between and including 0 to infinity (not including infinity). It is written that the range is as it includes 0 but not infinity.
Which function has the same range as Y?
Answer by. There are many other functions that have that range, like any function that is 1/f (x) where f (x) is a function with a range of [-1,1]. Actually, and function that has a range of [-1,1] has a reciprocal that when treated as a function, has the same range as y=csc x.