how to find the c value in a sinusoidal function C To find C graph the line y D Look at the first points left and right of the y axis where the sinusoid intersects y D Choose the point of intersection that precedes a local maximum of the sinusoid the function is increasing immediately to the right of the point The x value of this point is C
To write a sine function you simply need to use the following equation f x asin bx c d where a is the amplitude b is the period you can find the period by dividing the absolute value b by 2pi in your case I believe the frequency and period are the same c is the phase shift or the shift along the x axis and d is the vertical Trigonometry Share Cite asked May 1 2016 at 6 08 dagda1 825 5 27 49 Add a comment 2 Answers Sorted by 2 a 2 b 3 c 1 To solve part b you need to solve the trigonometric equation 2 sin 3x 1 2 sin 3 x 1 The solution P is then 50 degrees There is another solution at 10 degrees but that is not P Share Cite
how to find the c value in a sinusoidal function
how to find the c value in a sinusoidal function
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9 5 Sinusoidal Functions Example 4 YouTube
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The value of C is the phase shift horizontal shift of the sinusoidal function The graph is shifted to the right if C 0 and shifted to the left if C 0 The value of D is the vertical shift of the sinusoid The horizontal line y D is the so called center line for the graph of the sinusoidal function We can write the formula for g x in the same easy to analyze form by factoring the input for the sine function g x sin left 2 x dfrac pi 3 right sin 2 left x dfrac pi 6 right In general if we write the formula for a sinusoidal function in standard form we can read all the transformations from the constants in the formula
Sal finds the equation of a sinusoidal function from its graph where the minimum point 2 5 and the maximum point 2 1 are highlighted Created by Sal Khan Y A sin B x C D is a general format for a sinusoidal function The number in the D spot represents the midline The equation of the midline is always y D Example y 3 sin 2 x 5 has a midline at y 5
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Finding the characteristics of a sinusoidal wave To find the amplitude wavelength period and frequency of a sinusoidal wave write down the wave function in the form y x t A sin k x omega t phi The amplitude can be read straight from the equation and is equal to A We can determine the y value by using the sine function To get a better sense of this function s behavior we can create a table of values we know and use them to sketch a graph of the sine and cosine functions Listing some of the values for sine and cosine on a unit circle
The value C B C B for a sinusoidal function is called the phase shift or the horizontal displacement of the basic sine or cosine function If C 0 C 0 the graph shifts to the right If C 0 C 0 the graph shifts to the left In Example 4 our solution is not the only sinusoidal function that fits the given graph For example if we regard the graph as a sine function shifted latex dfrac pi 3 latex units to the left we would use the formula latex y 4 sin left x dfrac pi 3 right latex You can check that the two functions have identical graphs
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how to find the c value in a sinusoidal function - The general equation for a sinusoidal function is f x a sin b x c d The controls the reflection across the x x axis The coefficient a a controls the amplitude The constant d d controls the vertical shift Here you will see that the coefficient b b controls the horizontal stretch Period