Graphing Sine And Cosine Functions Worksheet Graphing Sine and Cosine Functions Recall that the sine and cosine functions relate real number values to the x and y coordinates of a point on the unit circle So what do they look like on a graph on a coordinate plane Let s start with the sine function We can create a table of values and use them to sketch a graph
Worksheet by Kuta Software LLC Kuta Software Infinite Precalculus Graphs of Trig Functions Name Date Period 1 Find the amplitude the period in radians the phase shift in radians the vertical shift and the minimum and maximum values Then sketch the graph using radians 1 y sin 1 Two cycles of the graph are shown to illustrate the phase shift 2 Again we graph two cycles to illustrate the phase shift 3 This will be the last time we graph two cycles to illustrate the phase shift
Graphing Sine And Cosine Functions Worksheet
Graphing Sine And Cosine Functions Worksheet
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Graphing Sine And Cosine Functions Worksheet Answers Db excel
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Graphing Sine And Cosine Functions Worksheet Answers Db excel
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Name 27 Date y sin x y 2 sin 4 TT y 3 cos 2x TT Amplitude and Period for Sine and Cosine Functions Worksheet Determine the amplitude and period of each function y sin 4x y 4 cos x y 3 sin x cos 5x 2 sin x 4 cos 5x Give the amplitude and period of each function graphed below Then write an equation of each graph Free worksheet pdf and answer key on grpahing sine and cosine curves 25 scaffolded questions on equation graph involving amplitude and period Plus model problems explained step by step Students will practice graphing sine and cosine curves a identify period and amplitude based on equation or on the graph b write equation from graph
Page 1 of 2 832 Chapter 14 Trigonometric Graphs Identities and Equations For a 0 and b 0 the graphs of y asinbxand y acosbx each have five keyx values on the interval 0 x 2 b the x values at which the maximumand minimumvalues occur and the x intercepts Graphing Sine and Cosine Functions Graph the function a y 2 sin x b y cos 2x SOLUTION a The amplitude is a 2 and the period is B1 Identify Attributes and Graph non phase shifted sine equations Exercise 5 5e B1 For the following exercises a State the amplitude and midline b the period and c the maximum and minimum y values and their corresponding x values on one period and d Graph two full periods of each function
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IXL s SmartScore is a dynamic measure of progress towards mastery rather than a percentage grade It tracks your skill level as you tackle progressively more difficult questions Consistently answer questions correctly to reach excellence 90 or conquer the Challenge Zone to achieve mastery 100 Learn more 0 D Find sine or cosine values given another trig ratio and the quadrant the angle is in Exercise 5 3e Find cos given the following information 41 sin 3 8 and is in the 2 nd quadrant 42 sin 1 4 and is in the 3 rd quadrant 43 sin 1 3 and 3 2 2 44 sin 3 4 and 3 2
Using degrees find the amplitude and period of each function Then graph 1 y sin 3 Create your own worksheets like this one with Infinite Algebra 2 Free trial available at KutaSoftware Title Graphing Trig Functions Author Mike Created Date 7 19 2012 3 56 04 PM The smallest such value is the period The basic sine and cosine functions have a period of 2 pi The function sin x is odd so its graph is symmetric about the origin The function cos x is even so its graph is symmetric about the y axis The graph of a sinusoidal function has the same general shape as a sine or cosine function
Graphing Sine And Cosine Functions Worksheet Answers Db excel
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Graphing Sine And Cosine Functions Worksheet - Name 27 Date y sin x y 2 sin 4 TT y 3 cos 2x TT Amplitude and Period for Sine and Cosine Functions Worksheet Determine the amplitude and period of each function y sin 4x y 4 cos x y 3 sin x cos 5x 2 sin x 4 cos 5x Give the amplitude and period of each function graphed below Then write an equation of each graph