ame: /12 /10 /11 Unit 6 Assessment: Sinusoidal Functions is assessment is designed for 75 minutes. ART A: Knowledge- Multiple Choice ART B: Application Graph y = 2 sin (2x-90°)+1. Show your work. (Graph one complete cycle labelling all major points) /6
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- According to the Old Farmer’s Almanac, in Anchorage, Alaska, the number of hours of sunlight on the summer solstice of 2010 was 19.42 and the number of hours of sunlight on the winter solstice was 5.48. (a) Find a sinusoidal function of the form y=Asin(ωx- ϕ)+B that models the data. (b) Use the function found in part (a) to predict the number of hours of sunlight on April 1,the 91st day of the year. (c) Draw a graph of the function found in part (a). *(d) Look up the number of hours of sunlight for April 1 in the Old Farmer’s Almanac,and compare the actual hours of daylight to the results found in part (c).Please create a sinusoidal function that fits the following criterias: Amplitude greater than 5 Midline value greater than 5 Max greater than 20 Minimum lower than 10 A non-zero phase shift Period of either 43 or 116 Please explain how you are graphing it and how the equation you created satisfies all the criterias above.In a city the number of hours of sunlight on the summer solstice of 2015 was 18.42, and the number if hours of sunlight on the winter solstice was 5.44. (Hint: the summer solstice occurs on the 172nd day of the year and there are 365 days until the next one.) Find a sinusoidal function of the form y = Asin that models the data. y = ___sin (___x - ___) + ___
- If I know the characteristics of the graph of a sinusoidal function, how can I write an equation for that graph?Can you please start from point e) and show your workings as well? Thank you !Explain a real-world application of sinusoidal functions and how having knowledge of trigonometry can prove to be useful in this application.
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