Presentation on theme: "GDC Set up Ensure that your calculator is in degree mode and that you know how to adjust the v-window of your graphs before doing these trigonometry graphs."— Presentation transcript:
1 GDC Set upEnsure that your calculator is in degree mode and that you know how to adjust the v-window of your graphs before doing these trigonometry graphs.
4 Amplitude of a trig graph A graph of y=sin(x) is shown below.This graph has an amplitude of 1.The graph of y=2sin(x) has an amplitude of 2.The graph of y=3sin(x) has an amplitude of 3.This pattern will also work with cosine graphs.
5 Amplitude of trig. graphs You will have discovered from previous slides that multiplying a trig graph by a number stretches the graph.The multiplying factor of the graph is known as the graph’s amplitude.
6 Amplitude of trig graphs 1 Find the amplitude of the graph below.
7 Amplitude of trig graphs 2 Find the value of a in f(x)=asinx, graphed below.
10 Period of a trig graph A graph of y=cos(x) is shown below. This graph has an period of 360 -the length it takes to make a complete wave.The graph of y=cos(2x) has an period of 180.The graph of y=cos(3x) has an period of 120.
11 Period of trig. graphsYou will have discovered from previous slides that multiplying the x by a constant increases the number of ‘waves’ the graph does. This is called the period - the time it takes to complete one cycle.
12 Period of trig. graphsFind the period of each of these graphs.
13 Period of trig graphs 1Find the period of the graph below.
16 Shift of a trig graph A graph of y=cos(x) is shown below. Look at where this graph starts (0,1).The graph of y=cos(x)+2 has a shift of 2.The graph of y=cos(x)-3 has a shift of -3This pattern will also work with sine graphs.
17 Vertical shift of trig. graphs You will have discovered from previous slides that adding a constant onto the trig graph will move the graph up, or down if the constant is negative.Write down the y-coordinate where the graph crosses the y-axis for each of these functions.
18 Putting it all together AmplitudeVertical shiftCalculates the periodThis is the general expression for a trig. graph which has been transformed. If you are trying to find the values of the letters then find a first, b second and c last. This format also works for cosine and tangent graphs.