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Algebra II/ Trig Honors Graphing Trig Functions Review ...
# Function Amplitude Period Phase Shift Vertical. Shift 7. Cosine 0.6 4( None None 8. Sine 5 None Up 2 9. Cosine 15 4( Left Down 10 10. Sine Right none Find the equation of each graph: (assume no phase shifts have taken place) 11. 12. 13. Graph at least two cycles of each equation. Label each quarter point and asymptote. 14. y = 3 sec 2x 15.
amplitude of a cosine function

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The frequency and period are reciprocals of each other. Example: Determine the equation of a cosine function that has a frequency of 4. The frequency and period are reciprocals of each other so the period = . Since , we can replace the period with and solve for k. If , then . The cosine function with a frequency of 4 is f(θ)=cos(8πθ) .
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3. For the function below, indicate the amplitude, frequency, period, vertical translation, and equation of the midline. Graph the function together with a graph of the cosine function f x = cos⁡ (x) on the same axes. Graph one full period of each function. h x =4 cos 2x -1
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[DOC File]Graphing Sine and Cosine – Worksheet #1
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Amplitude: 3 Period: Amplitude: 2 Period: Phase shift: N/A Vertical shift: Down 2 Phase shift: N/A Vertical shift: Up 1 Graphing Sine and Cosine Fill in the blanks and graph. 9) 10) Domain: Range: Domain: Range: Amplitude: 2 Period: Amplitude: 1 Period: π
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Sine and Cosine functions can be used to model average temperatures for cities. Based on what you know about these graphs from earlier units, why do you think these functions are more appropriate than a cubic function? Or an exponential function? Using the data from #4, use your graphing calculator to find a sine function that models the data.
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Writing equations of Sine and Cosine graphs. a) amplitude = 2, period = , point (0, 0) b) amplitude = 3, period = , point (0, -3) 4.5: Graphs of Tangent, Cotangent, Secant, and Cosecant. Since , has vertical asymptotes everywhere . Example 1: Graphing Tangent Functions. Locate the vertical asymptotes and graph two periods of the function ...
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Use your graphing calculator to make a scatter plot of the given data. Decide if you would like to model using a sine or cosine function; sometimes you are required to use both models. Find the amplitude of the function. Recall: Find the period (p). Recall that the period is the horizontal length to complete one cycle. Find the value of B.
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amplitude. of the cosine function is defined as the distance from the midline to the highest or lowest point.) 5. Does the cosine function have repeating outputs? If so, what is the . period. of the outputs, hence the . period. of the cosine function? (Note: The . period. of a function is the length of the interval on the x-axis where the graph ...
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b. Use the table to sketch one period each of the graphs of y = sin x and y = cos x. PreCalculus HW Trig Functions - 3. 1. a. Is the sine function even or odd? sin((x) = ? b. Is the cosine function even or odd? cos((x) = ? 2. Sketch at least one full period of each function without using your calculator. Show appropriate scales on the axes. a ...
amplitude of a cosine function

Cosine function with amplitude and period calculator