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Calculate the midline by finding the average of the maximum and minimum hours off light (Use the the numbers on your spreadsheet, not the hours:minutes numbers in the table). Enter your answer below. Calculate the amplitude by finding the difference between the maximum hours of daylight and the minimum hours of daylight and then dividing by 2. Calculate the period (How many months will it take to repeat the pattern). The pattern starts and stops at its lowest values. Would a sine function or a cosine functions be easier to use (You can use either one, but one would definately by easier than the other)? Finally, write a function of the form f(x) = acos(bx)+c that inputs the midline, amplitude, and period in the apporpriate positions for a, b, and c (Remember that the period is not actually in the function but can be obtained from b in the function. Period = 2T + b. You will have to calculate b based on your period). You may use "pi" for TT if you wish to have TT in your function. If you would like to approximate TT, use 3.14.

Calculate the midline by finding the average of the maximum and minimum hours off light (Use the the numbers on your spreadsheet, not the hours:minutes numbers in the table). Enter your answer below. Calculate the amplitude by finding the difference between the maximum hours of daylight and the minimum hours of daylight and then dividing by 2. Calculate the period (How many months will it take to repeat the pattern). The pattern starts and stops at its lowest values. Would a sine function or a cosine functions be easier to use (You can use either one, but one would definately by easier than the other)? Finally, write a function of the form f(x) = acos(bx)+c that inputs the midline, amplitude, and period in the apporpriate positions for a, b, and c (Remember that the period is not actually in the function but can be obtained from b in the function. Period = 2T + b. You will have to calculate b based on your period). You may use "pi" for TT if you wish to have TT in your function. If you would like to approximate TT, use 3.14.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 67E
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Calculate the midline by finding the average of the maximum and minimum hours off light (Use the the numbers on your spreadsheet, not the hours:minutes numbers in the table). Enter your answer below. Calculate the amplitude by finding the difference between the maximum hours of daylight and the minimum hours of daylight and then dividing by 2. Calculate the period (How many months will it take to repeat the pattern). The pattern starts and stops at its lowest values. Would a sine function or a cosine functions be easier to use (You can use either one, but one would definately by easier than the other)? Finally, write a function of the form f(x) = acos(bx)+c that inputs the midline, amplitude, and period in the apporpriate positions for a, b, and c (Remember that the period is not actually in the function but can be obtained from b in the function. Period = 2TT - b. You will have to calculate b based on your period). You may use "pi" for TT if you wish to have T in your function. If you would like to approximate TT, use 3.14.
Transcribed Image Text:Calculate the midline by finding the average of the maximum and minimum hours off light (Use the the numbers on your spreadsheet, not the hours:minutes numbers in the table). Enter your answer below. Calculate the amplitude by finding the difference between the maximum hours of daylight and the minimum hours of daylight and then dividing by 2. Calculate the period (How many months will it take to repeat the pattern). The pattern starts and stops at its lowest values. Would a sine function or a cosine functions be easier to use (You can use either one, but one would definately by easier than the other)? Finally, write a function of the form f(x) = acos(bx)+c that inputs the midline, amplitude, and period in the apporpriate positions for a, b, and c (Remember that the period is not actually in the function but can be obtained from b in the function. Period = 2TT - b. You will have to calculate b based on your period). You may use "pi" for TT if you wish to have T in your function. If you would like to approximate TT, use 3.14.
Months |Hours of Light 1 10.68333333 2 11.55 Hours of Light vs. Months 3 12.41666667 15 13.45 5 14.28333333 6 14.71666667 7 14.53333333 10 8. 13.83333333 9 12.9 10 11. 91666667 11 11.05 12 10.58333333 2 6 8 10 12 Months Hours of Light
Transcribed Image Text:Months |Hours of Light 1 10.68333333 2 11.55 Hours of Light vs. Months 3 12.41666667 15 13.45 5 14.28333333 6 14.71666667 7 14.53333333 10 8. 13.83333333 9 12.9 10 11. 91666667 11 11.05 12 10.58333333 2 6 8 10 12 Months Hours of Light
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