determine the domain and range of sine function Graphing a sin curve to think about its domain and range Practice this lesson yourself on KhanAcademy right now khanacademy math trig Watch the next lesson
The range of a function y f x y f x is the set of values y y takes for all values of x x within the domain of f f What is the range of y f x sin x y f x sin x The domain of f f above is the set of all values of x x in the interval As x x takes values from to sin x sin Learn to determine the domain and range of trigonometric functions at BYJU S Domain and range of sine cosine tangent secant cosecant and cotangent functions
determine the domain and range of sine function
determine the domain and range of sine function
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The domain and range of trigonometric function sine are obtained as follows Domain color blue All real numbers i e Range color blue 1 1 Cosine function The cosine function is the ratio of the adjacent side and the hypotenuse of a right triangle Example 1 Determining the Domain and Range of a Function from the Graph Consider the following graph of What is the domain of What is the range of Answer Before we answer the questions about the domain and range of we note that the graph of the function repeats indefinitely
Given the formula for a function determine the domain and range Exclude from the domain any input values that result in division by zero Exclude from the domain any input values that have nonreal or undefined number outputs Use the valid input values to determine the range of the output values Important Notes on Sine Function Sine can be mathematically written as sin x Opposite Side Hypotenuse Perpendicular Hypotenuse f x sin x is a periodic function and sine function period is 2 The domain and range of the
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Domain and range for sine and cosine functions There are no restrictions on the domain of sine and cosine functions therefore their domain is such that x R Notice however that the range for both y sin x and y cos x is between 1 and 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 2 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
The sine function takes the reals domain to the closed interval 1 1 1 1 range Both of these functions can be extended so that their domains are the complex numbers and the ranges change as well Domain and Range Calculator Wolfram Alpha The domain of the functions sin and cos is all real numbers denoted as shown Note that these are often written as sin and cos where the function would be of The range of the functions sin and cos is the set of numbers on the closed interval negative one to one
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determine the domain and range of sine function - The domain and range of trigonometric function sine are obtained as follows Domain color blue All real numbers i e Range color blue 1 1 Cosine function The cosine function is the ratio of the adjacent side and the hypotenuse of a right triangle