how to find sine and cosine functions from a graph The general equation of a sine graph is y A sin B x D C The general equation of a cosine graph is y A cos B x D C Examples Given a transformed graph of sine or cosine determine a possible equation Show Video Lesson Trigonometry Finding An Equation From A Graph Writing Equation Of Sin And Cos Graph Examples
1 Draw a coordinate plane For a sine or cosine graph simply go from 0 to 2 on the x axis and 1 to 1 on the y axis intersecting at the origin 0 0 Both and repeat the same shape from negative infinity to positive infinity on the x axis you ll generally only graph a portion of it About Transcript Sal finds the equation of a sinusoidal function from its graph where the minimum point 2 5 and the maximum point 2 1 are highlighted Created by Sal Khan Questions Tips Thanks Want to join the conversation Log in Sort by Top Voted JesseB 10 years ago
how to find sine and cosine functions from a graph
how to find sine and cosine functions from a graph
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Transforming Sine And Cosine Graphs examples Solutions Worksheets
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PPT Graphing Sine And Cosine Functions PowerPoint Presentation Free
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In this section we will interpret and create graphs of sine and cosine functions Graphing Sine and Cosine Functions Recall that the sine and cosine functions relate real number values to the x and y coordinates of a point on the unit circle So what do they look like on a graph on a coordinate plane 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
Given a graph of a sine or cosine function really what s the difference if you just have the graph we write multiple sine and cosine functions that gene The sine and cosine graphs are horizontal transformations of each other We can prove this by using the Cofunction Identity and the Negative Angle Identity for cosine sin cos 2 Cofunction Identity cos 2 cos 2 cos 2 Negative Angle Identity
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By Mary Jane Sterling Updated 12 21 2021 From The Book Trigonometry For Dummies Trigonometry For Dummies Explore Book Buy On Amazon The relationship between the cosine and sine graphs is that the cosine is the same as the sine only it s shifted to the left by 90 degrees or 2 Explore math with our beautiful free online graphing calculator Graph functions plot points visualize algebraic equations add sliders animate graphs and more Sine and Cosine Desmos
Determine amplitude period phase shift and vertical shift of a sine or cosine graph from its equation Graph variations of y cos x and y sin x Determine a function formula that would have a given sinusoidal graph Determine Sine and Cosine Graphs In the graph of the sine function the x x axis represents values of theta and the y y axis represents values of sin theta sin For example sin 0 0 sin0 0 implying that the point 0 0 0 0 is a point on the sine graph
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how to find sine and cosine functions from a graph - Y Asin Bx C D and y Acos Bx C D or y Asin B x C B D and y Acos B x C B D The value C B for a sinusoidal function is called the phase shift or the horizontal displacement of the basic sine or cosine function If C 0 the graph shifts to the right If C 0 the graph shifts to the left