what is the amplitude of a cos function The amplitude is the vertical distance from the midline to the min or max So if you are given the minimum add the amplitude to the y coordinate If you are given the maximum subtract the amplitude from the y coordinate
The general form of a cosine function is latex f x pm A cos B x C D In general form the coefficient A is the amplitude of the cosine If there is no number in front of the cosine function we know that the amplitude is 1 The amplitude can be better understood using the graph of a cosine function Definition Amplitude of a Function The height from the horizontal axis to the peak or through of a sine or cosine function is called the amplitude of the function Each of the curves y sin theta and y cos theta has amplitude 1
what is the amplitude of a cos function
what is the amplitude of a cos function
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ACC Math 3 Graph Sine And Cosine Using Amplitude Period And Midline
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How To Find The Amplitude Period And Frequency Of A Trigonometric
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The amplitude of y asinbx or y acosbx is a As the last example y 2sinx shows multiplying by a constant on the outside affects the amplitude If you multiply by a constant on the outside and on the inside as in y 3sin2x you will Use the form acos bx c d a cos b x c d to find the variables used to find the amplitude period phase shift and vertical shift a 1 a 1 b 1 b 1 c 0 c 0 d 0 d 0 Find the amplitude a a Amplitude 1 1 Find the
Brian McLogan 24K views 11 years ago Learn how to graph a cosine function To graph a cosine function we first determine the amplitude the maximum point on the graph the period the Solution Compare the functions y 5 2 cos x 4 and y a cos b x to find a and b Amplitude a 5 2 5 2 The amplitude of the function is 5 2 Period 2 0 25 8 The period of the function is 8 Executive Functioning Tutors GIAC Global Information Assurance Certification Test Prep Series 57 Courses Classes
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So when you multiply the value of the function by some coefficient and consider the amplitude which as Sal explains is 1 2 ymax ymin you are essentially multiplying 1 for the max and 1 for the min by that coefficient In other words the amplitude of a function is 1 2 coefficient coefficient which simplifies just to Find the period amplitude and frequency of y 2 cos dfrac 1 2 x and sketch a graph from 0 to 2 pi This is a cosine graph that has been stretched both vertically and horizontally It will now reach up to 2 and down to 2
The amplitude of a trigonometric function is half the distance from the highest point of the curve to the bottom point of the curve text Amplitude frac text Maximum minimum 2 Amplitude 2 Maximum minimum For example if we consider the graph of y sin x y sin x Amplitude The amplitude of a cosine function is half the vertical distance between its highest and lowest points This is equal to the distance between a highest point and
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what is the amplitude of a cos function - Solution Compare the functions y 5 2 cos x 4 and y a cos b x to find a and b Amplitude a 5 2 5 2 The amplitude of the function is 5 2 Period 2 0 25 8 The period of the function is 8 Executive Functioning Tutors GIAC Global Information Assurance Certification Test Prep Series 57 Courses Classes