What is the range of the sine function?

What is the range of the sine function?

[-1, 1
The range of the sine function is from [-1, 1]. The period of the tangent function is π, whereas the period for both sine and cosine is 2π.

What is the range of Y 5sin X )?

The range is −5≤y≤5 – 5 ≤ y ≤ 5 .

Which value is not in the range of the function y sin x?

sin(x) is defined for all real values of x , so it’s domain is all real numbers. However, the value of sin(x) , its range , is restricted to the closed interval [-1, +1].

What are the domain and range of y sin x apex?

Explanation: The sine function has no domain restrictions. That means that the domain is (−∞,+∞) . However, the range of a since function is restricted as such: [−1,+1] .

What is the range of Y X?

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.

What is the period of y sin 3x )?

2π/3
We know that the period of sin x is 2π, therefore the period of sin 3x is 2π/3. This implies the cycle of sin 3x repeats itself after every 2π/3 radians.

What is the interval of sin x?

Sine Function: f(x) = sin (x) increasing on the intervals (0, π/2) and (3π/2 , 2π), and decreasing on the interval (π/2 , 3π/2).

How do you find the domain and range of sine?

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 does the graph of y = sin ( x ) mean?

The graph of y=sin(x) is like a wave that forever oscillates between -1 and 1, in a shape that repeats itself every 2π units. Specifically, this means that the domain of sin(x) is all real numbers, and the range is [-1,1].

How do you find the range of Sine?

The lower bound of the range for sine is found by substituting the negative magnitude of the coefficient into the equation. The upper bound of the range for sine is found by substituting the positive magnitude of the coefficient into the equation. The range is −1 ≤ y ≤ 1 – 1 ≤ y ≤ 1.

Where are the zeros of y = sin x?

The zeros of y = sin x are at the multiples of π. And it is there that the graph crosses the x -axis, because there sin x = 0. But what is the maximum value of the graph, and what is its minimum value? — and at all angles coterminal with them. Here is the graph of y = sin x: The height of the curve at every point is the line value of the sine.

Which is the inverse of the sine function y?

This variant of a sine function, reduced to an interval where it is monotonous and fills an entire range, has an inverse function called y = arcsin (x). It has range [− π 2, π 2] and domain from −1 to 1.