# How to find domain and range of sine function

## 5.2: Unit Circle - Sine and Cosine Functions

Find domain and range of sine inverse (5x+1)

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The range of a sine wave is altered by the coefficient placed in front of the base equation. For our question, then, it is fine to use. For our question, the range of values covers. This requires an upward shift of. An example of performing a shift like this is:. The range of the sine and cosine functions are the closed interval from the negative amplitude and the positive amplitude. Thus we see the range is:.

Since the sine function is defined everywhere on the real numbers, its set is RR. As f is a periodic function, its range is a bounded interval given by the max and min values of the function. The maximum output of sinx is 1 , while its minimum is The domain of a function is the set of input values for which the function is real and defined. As you can easily observe, the SIN graph goes up until color blue 1 and goes down until color blue What is the domain and range of a sine graph?

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Next lesson. Current timeTotal duration Video transcript - [Narrator] We're asked what are the domain and range of the sine function? So to think about that, let's actually draw the sine function out, and what I have here, on the left hand side right over here I've got a unit circle, and I can, let me truncate this a little bit.

## What is the domain and range of a sine graph?

This lesson shows how to find the period of cosine functions.,

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## 4 thoughts on “How to find domain and range of sine function”

Domain and Range of Sine and Cosine Functions - dummies

Pre-calculus Contents G.

Trigonometric functions | Algebra (all content) | Math | Khan Academy

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