This value is called the phase shift of the graph. Examinethe purple and green graph and their equations. Equation of red graph Equation of green graph a. Lesson finished with an interactive plenary where students need to evaluate trigonometric values. Worksheets are Graphing trig functions, Amplitude and period for sine and cosine functions work, 1 of 2 graphing sine cosine and tangent functions, Graphing sine and cosine work 1, Honors algebra 2 name, Graphs of trig functions, Mslc workshop series math 1149 1150 workshop graphs of, Graphingsineandcosinefunctionswork mcr3u jensen. Equation of blue graph Equation of red graph a.

NextThe graph of thefirst function remains in black. The graph of the firstfunction remains in black. The purple graph istranslated right 2 units. This can easily be explained by thefact that you are solving, so to speak, for the given variable. Use sine in oneand cosine in the other. If thefirst function is rewritten asÉ.

NextConsider the blue and purple graph and their equations. Equation of red graph Equation of blue graph b. This can be determined by comparingpoint 0,0 on the first function to point 0, 2 on the red graph. This can bedetermined by comparing point 0,0 on the first function to point on the bluegraph. Inside, it seems opposite than what youwould assume. In other words when ÒaÓis it is a verticalshrink by. Lesson starts with plotting the graphs of Sine, Cosine and Tangent functions.

NextThis value is called the amplitude of the graph. Describe in detail the transformations you see. Before, getting on to solving trigonometric equations using the graphs. Look deeper than horizontalversus verticalÉ. Look deeper than horizontal versus verticalÉ. Graphing Sine And Cosine Displaying all worksheets related to - Graphing Sine And Cosine.

NextThe purple graph is shrunk horizontallyby a factor of. Describe how the graph of the first function has changed tobecome the blue graph and the purple graph. Take a look at an animation of thisphenomenon. How does ÒcÓ operate differentlywhen it is inside or outside the parentheses? Write two different equations for thesame graph below. Found worksheet you are looking for? This can be determined by comparing point 1. Consider the basic sine equation and graph. Amplitude and Period of Trigonometric Functions.

NextThen brings in sketching a comparison of the Sine and Cosine functions. The greengraph is stretched horizontally by a factor of 2. Includein your answer how a specific point on the graph of the first functiontransforms to become a point on the blue graph and on the purple graph. LetÕscall it the first function É. OÕKelley This is an exploration forAdvanced Algebra or Precalculus teachers who have introduced their students tothe basic sine and cosine graphs and now want their students to explore how changesto the equations affect the graphs.

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