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What is the domain and range of sine function?
The graph of the sine function looks like this: 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 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 domain for sine and cosine?
all real numbers
The domain of the sine and cosine functions is all real numbers. 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.
How do you find domains and ranges?
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
What is the domain and range of trigonometric functions?
The domain and range of trigonometric functions are given by the angle θ and the resultant value, respectively. The domain of the trigonometric functions are angles in degrees or radians and the range is a real number.
What is domain of Sinx?
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 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 f?
Overall, the steps for algebraically finding the range of a function are:
- Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
- Find the domain of g(y), and this will be the range of f(x).
- If you can’t seem to solve for x, then try graphing the function to find the range.
How do you find the domain of F?
Identify the input values. Since there is an even root, exclude any real numbers that result in a negative number in the radicand. Set the radicand greater than or equal to zero and solve for x. The solution(s) are the domain of the function.
What is the domain of Sinx?
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 range of sine?
[-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 period of Sinx?
2π
The period of sinx is 2π, whereas period of sinx/2 is 4π.
What is the range of Sinx?
[-1,1
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].
What are the domain and range of sin ( x )?
The possible attainable values of y is called Range. The possible values of variable x with respect to the function is called Domain. Sin (x) always lies between -1 to +1. It means in eqn (1), value of y will lie between -1 to +1.
What are the domains and ranges of trigonometric functions?
Domain, Range, and De nition of the three main inverse trigonometric functions: 1. sin 1(x) Domain: [ 1;1] Range: [ˇ 2; 2] De nition: = sin 1(x) means sin( ) = xwhen 1 x 1 and ˇ 2 ˇ 2 2. cos 1(x) Domain: [ 1;1] Range: [0;ˇ] De nition: = cos 1(x) means cos( ) = xwhen 1 x 1 and 0 ˇ 3. tan 1(x) Domain: R Range: ( ˇˇ 2; 2)
What is the domain and range of cos ( x )?
So, the domain of cos ( x) is all real numbers. Also, the value of cos ( x ), depending on the point on the circle, can go to a maximum of 1 at x = 0 degrees and a minimum of -1 at x = 180 degrees. So, the range of cos ( x) is from -1 to 1. Next, let’s look at the domain and range of sec (x).
Which is the domain and range of sec x?
Hence the domain of sec x will be R- (2n+1)π/2, where n∈I. The range of sec x will be R- (-1,1). Since, cos x lies between -1 to1, so sec x can never lie between that region. cosec x will not be defined at the points where sin x is 0.