Table of Contents
What is the range of value of sin?
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.
What is the a value in a sine function?
The value A (in front of sin or cos) affects the amplitude (height). The amplitude (half the distance between the maximum and minimum values of the function) will be |A|, since distance is always positive. Increasing or decreasing the value of A will vertically stretch or shrink the graph.
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 the range of sin2x?
As the range of sin function is [-1, 1], the range of sin2x is also [-1, 1].
What is the sine value of pi 6?
The exact value of sin(π6) sin ( π 6 ) is 12 .
What is the exact value of sin 1?
0.8414709848
The value of sin 1 is 0.8414709848, in radian.
What is C in a sinusoidal equation?
The constant c controls the phase shift. Phase shift is the horizontal shift left or right for periodic functions. If c=π2 then the sine wave is shifted left by π2. If c=−3 then the sine wave is shifted right by 3.
What is the range of y = f(x) = sin(x)?
The range of a function y = f (x) is the set of values y takes for all values of x within the domain of f. What is the range of y = f (x) = sin (x)? As x takes values from -∞ to +∞, sin (x) takes all values between -1 and 1 as shown in the unit circle below.
What is the range and domain of sine function?
Therefore, Hence, we got the range and domain for sine function. Hence, for the trigonometric functions f (x)= sin x and f (x)= cos x, the domain will consist of the entire set of real numbers, as they are defined for all the real numbers. The range of f (x) = sin x and f (x)= cos x will lie from -1 to 1, including both -1 and +1, i.e.
What is the domain and range of sin and cos?
They are periodic functions with a period of 2π. The domain of each function is (− ∞, ∞) and the range is [− 1, 1]. The graph of y = sin x is symmetric about the origin, because it is an odd function. The graph of y = cos x is symmetric about the y -axis, because it is an even function.
What is the graph of y=sin(x)?
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]. See how we find the graph of y=sin (x) using the unit-circle definition of sin (x).