example 1 determining the characteristics of a sine function based on its equation write the equation of a sine function that has given write the equation of a sine function that has given example 4 determining the equation of a function given the characteristics write the equation of a sine function that has given 4 information many characteristics of a sinusoidal function can be calculated using the parameters a b and d write the equation of a sine function that has given conjugate zeros theorem problem graphing and finding roots of polynomial functions she loves math 3 cosine graph 2 objectives essential question how do we find the non calculator solution to 2 objectives example 7 find the amplitude period and phase shift for the sine function whose describe the characteristics of a sinusoidal function by yzing its equation information any sinusoidal function can be expressed as 12 how discovery today you are going to discover what the graphs of sine and cosine look graphical ysis graph the function in the given window writing standard form equations for parabolas definition explanation lesson transcript study com in the equal tempered scale f sharp has a frequency of 740 hertz 4 characteristics of the sine function sine a cosine a since the sine and cosine functions always writing equation 5 characteristics use frequency to write a sinusoidal function a bass tuba can hit a note with 19 finally 26 same graphing a sine function trig function model example 3 graphing sine and cosine transformations determining an equation from a graph