how to write an equation of a sine or cosine function Trigonometry Skills Practice Jump to a specific example Lynn Ellis View bio Steps for Writing the Equation of a Sine Function Given its Graph Step 1 Examine the graph to find the y
Since the cosine function has an extreme point for x 0 x 0 let us write our equation in terms of a cosine function Let s start with the midline We can see that the graph rises and falls an equal distance above and below y 0 5 y 0 5 Since the cosine function has an extreme point for x 0 let us write our equation in terms of a cosine function Let s start with the midline We can see that the graph rises and falls an equal distance above and below y 0 5
how to write an equation of a sine or cosine function
how to write an equation of a sine or cosine function
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Solved Write The Equation Of A Sine Or Cosine Function Chegg
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How To Write Sine Equation As Cosine Function YouTube
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To write a sine function you simply need to use the following equation f x asin bx c d where a is the amplitude b is the period you can find the period by dividing the absolute value b by 2pi in your case I believe the frequency and period are the same c is the phase shift or the shift along the x axis and d is the vertical begin align sin 2 theta sin theta 0 sin theta 2 sin theta 1 0 sin theta 0 theta 0 pi 2 sin theta 1 0 2 sin theta 1 sin theta dfrac 1 2 theta dfrac 7 pi 6 dfrac 11 pi 6 end align
Part 1 Graphing the Basic Equations Download Article 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 The equation of a sine graph is y a sin b x h k To find out how to write the equation of a sine graph follow our article The general equation of a sine graph is y a sin b x h k where a is the amplitude b is the period h is the horizontal shift and k is the vertical shift Related TopicsHow to Graph the
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The generalized equation for a sine graph is as follows y A sin B x C D Using this equation Amplitude APeriod 2 BHorizontal shift to the left CVertical shift D Remember that we are looking at our functions in terms of radians instead of degrees Period is equal to 2 B because there are 2 radians in a full rotation Writing the Equation of a Cosine Function Given its Graph Step 1 Identify the amplitude A of the function from its graph by calculating one half the distance between its peaks Step
Write the equation of the function f of x graphed below And so we have this clearly periodic function So immediately you might say well this is either going to be a sine function or a cosine function But its midline and its amplitude are not just the plain vanilla sine or cosine function And we can see that right over here This is Eric Hutchinson from the College of Southern Nevada Thank you so much for watching Please visit my website hutchmath for notes v
Solved Write The Equation Of A Sine Or Cosine Function To Chegg
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Write Sine Equations YouTube
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how to write an equation of a sine or cosine function - begin align sin 2 theta sin theta 0 sin theta 2 sin theta 1 0 sin theta 0 theta 0 pi 2 sin theta 1 0 2 sin theta 1 sin theta dfrac 1 2 theta dfrac 7 pi 6 dfrac 11 pi 6 end align