Presentation on theme: "Graphing Trig Functions"— Presentation transcript:
1 Graphing Trig Functions Graphing Trig FunctionsSAMMSections 2.7 and 2.8Amplitude and Period - Notes
2 Graphing TerminologyAmplitude—The maximum or minimum vertical distance between the graph and the x-axis. Amplitude is always positive because it is a distance.Period--The number of degrees or radians we must graph before it begins to repeat.
4 This number controls the period. Trig FunctionsTrig functions are written in the form ofy = AsinBx or y = AcosBxy= 5 sin 2xThis number controls the period.Amplitude
5 Graphing Sine and Cosine To find the period length —
6 To find the angles to use for graphing – Find the sum of the beginning and end angles and divide by two.Repeat step 2 with the beginning and middle angles. Do the same with the middle and end angles.
7 Quick graph of the Cosine function is Max-Zero-Min-Zero-Max Quick graph of the Sine function is Zero-Max-Zero-Min-ZeroQuick graph of the Cosine functionis Max-Zero-Min-Zero-MaxSketch a sine or cosine curveBased on the points graphed.
8 The amplitude is ? The period length is?. Example #1 y= 2sin4x Answer is 2. Remember, amplitude is always a positive number .The period length is?.
10 The amplitude is ? The period length is?. Example #2 y= -3cos2x Answer is 3. Remember, amplitude is always a positive number .The negative means the graph will be flipped when graphed – How does this happen?The period length is?.