write the equation of a sine function that has following 4 information many characteristics of a sinusoidal function can be calculated using the parameters a b and d graphing tangent functions example 4 determining the equation of a function given the characteristics example 1 determining the characteristics of a sine function based on its equation graphing tangent functions 22 the equation of the midline or an is the horizontal line that is halfway between the maximum and minimum values and it can be found using the example 6 sketching the graph of a sinusoidal function in degree measure the midline is since 17 write the equation of sine function with following features amplitude 4 period ps sin cos graphs let s explore the sine graph graphing sine and cosine functions obtain equation from transformed sin graph transformations of sin function transformations when finding equations we can sometimes get confused about whether there is a reflection or a phaseshift unless we are given specific information to check 4 5 sine and cosine functions graphing sine and cosine functions graphing sine and cosine transformations lesson transcript study com 4 take transformations of sin function transformations of cos function 13 writing equations write an equation for a positive sine curve 15 reminder graphs of sinusoids the graphs of these functions have the following characteristics 46 h writing sinusoidal equations from word problems you found that this data represents graphs of sine and cosine describe the characteristics of a sinusoidal function by yzing its equation 2 a review y sin x recall the appearance and information the graphs of sinusoidal functions have many characteristics inverse sine function 4 properties of cosine function sketch the graph of 5 points max midline min midline max figure 2 4 one cycle of a sine wave 51 key concept 7 trig function model example 2 c writing sinusoidal equations from word problems trig pa functions obtaining piecewise functions from graphs transformations of csc and sec functions example 2 find the equation of the sine curve 12 key concept 1 20 write the equation of a sine function 5 32 7 9 9 7 write the function inverse cosine function trig function model example 3 writing the equations of either a sine or a cosine function 4 sines vs 13 transformations confirm these answers graphically write the cosine function