amplitude and period of trig functions How do you find the amplitude period asymptotes from 0 2pi shifts and the min max of the following trig functions Y 5 cos x 4 What is the amplitude and period of y sin 3x How do you find period amplitude and midline of
Some functions like Sine and Cosine repeat forever and are called Periodic Functions The Period goes from one peak to the next or from any point to the next matching point The Amplitude is the height from the center line to the peak or to the trough Or we can measure the height from highest to lowest points and divide that by 2 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
amplitude and period of trig functions
amplitude and period of trig functions
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Equation Of A Sine Function Amplitude Diy Projects
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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 The amplitude of a function is the amount by which the graph of the function travels above and below its midline When graphing a sine function the value of the amplitude is equivalent to the value of the coefficient of the sine
Practice this lesson yourself on KhanAcademy right now khanacademy math trigonometry trig function graphs trig graphs tutorial e amplitu State the period midline and amplitude of the graph of y 3 4 sin 3 theta and graph the function Answer For this function A 4 B 3 and k 3 Its amplitude is 4 its period is frac 360 circ 3 120 circ and
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Identify the graphs and periods of the trigonometric functions Describe the shift of a sine or cosine graph from the equation of the function Example 1 Example 2 Example 3 Example 4 Example 5 The transformation rules about horizontal stretching and shrinking directly apply to sine and cosine graphs If a sine graph is horizontally stretched by a factor of frac 1 2 that is the same as a horizontal compression by a factor of 2
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