5. Determine the amplitude and period for the sine curve in the accompanying graph. Write its equation in the form CœEsinaF cb Gdb H.
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1 Dugopolski's Trigonometry 5 Chapter Test -- Form A Name: appropriately. Determine the period, range, and amplitude for each function.. Cœsin B. CœcosaBb 3. Cœ sinabb 4. CœcosaBb " 5. Determine the amplitude and period for the sine curve in the accompanying graph. Write its equation in the form CœEsinaF cb Gdb H period: amplitude: equation:
2 6 Form A appropriately. Determine the period, asymptotes, and range for each function. 6. Cœtan ab b asymptotes: 7. Cœ sec abb asymptotes: 8. Cœcsc a3bb asymptotes: Solve each problem. 9. Graph the function Cœsin B cos Bfor Bbetween and using the technique of adding the C-coordinates. Draw and label the axes appropriately. 0. The population in a particular herd of antelope in South Africa oscillates between approximately 500 and 800. The maximum number can be found at the beginning of January, while the minimum number of can be found at the beginning of July. Express the population as a function of time in the form CœEsin cfb G a bd H, where January is counted as month one ( Bœ"Ñ. 0.
3 Dugopolski's Trigonometry 7 Chapter Test -- Form B Name: appropriately. Determine the period, range, and amplitude for each function, as required.. Cœsin B. Cœ cosabb 3. Cœ $ sinabb 4. CœsinaBb 5. Determine the amplitude and period for the sine curve in the accompanying graph. Write its equation in the form CœEsinaF cb Gdb H period: amplitude: equation:
4 8 Form B appropriately. Determine the period, asymptotes, and range for each function. 6. Cœ$ csc abb asymptotes: " 7. Cœ sec abb " $ asymptotes: 8. Cœtan B asymptotes: Solve each problem. 9. Graph the function Cœsin B cos Bfor Bbetween and using the technique of adding the C-coordinates. Draw and label the axes appropriately. 0. The population in a particular herd of antelope in South Africa oscillates between approximately 400 and 900. The maximum number can be found at the beginning of February, while the minimum number of can be found at the beginning of August. Express the population as a function of time in the form CœEsin cfb G a bd H, where January is counted as month one ( Bœ"Ñ. 0.
5 Dugopolski's Trigonometry 9 Chapter Test -- Form C Name: appropriately. Determine the period, range, and amplitude for each function, as required.. Cœsin B $ ". Cœcosˆ B 3. Cœ cosabb 4. CœsinaBb " 5. Determine the amplitude and period for the sine curve in the accompanying graph. Write its equation in the form CœEsinaF cb Gdb H period: amplitude: equation:
6 30 Form C appropriately. Determine the period, asymptotes, and range for each function. 6. Cœ sec abb " asymptotes: 7. Cœtan ˆ " B asymptotes: 8. Cœ csc B asymptotes: Solve each problem. 9. Graph the function Cœ sin B cos Bfor Bbetween and using the technique of adding the C-coordinates. Draw and label the axes appropriately. 0. The population in a particular herd of antelope in South Africa oscillates between approximately $!! and *!!. The maximum number can be found at the beginning of March, while the minimum number of can be found at the beginning of September. Express the population as a function of time in the form CœEsin cfb G a bd H, where January is counted as month one ( Bœ"Ñ. 0.
7 Dugopolski's Trigonometry 3 Chapter Test -- Form D Name: appropriately. Determine the period, range, and amplitude for each function, as required.. Cœ$ sin abb. Cœcos abb 3. Cœcos B 4. Cœ sinabb 5. Determine the amplitude and period for the sine curve in the accompanying graph. Write its equation in the form CœEsinaF cb Gdb H period: amplitude: equation:
8 3 Form D appropriately. Determine the period, asymptotes, and range for each function. 6. Cœ sec abb " asymptotes: 7. Cœtan B asymptotes: ' 8. Cœ csc abb " asymptotes: Solve each problem. 9. Graph the function Cœsin B cos Bfor Bbetween and using the technique of adding the C-coordinates. Draw and label the axes appropriately. 0. The population in a particular herd of antelope in South Africa oscillates between approximately 00 and 500. The maximum number can be found at the beginning of February, while the minimum number of can be found at the beginning of August. Express the population as a function of time in the form CœEsin cfb G a bd H, where January is counted as month one ( Bœ"Ñ. 0.
9 Dugopolski's Trigonometry 33 Chapter Test -- Form E Name: Multiple Choice: Choose the best answer for each. Use the following graph, shown for!ÿbÿ ß to answer questions What is the amplitude of the above graph? a. b. c. d.. What is the period of the above graph? a. b. c. d. 3. Of which of the following trigonometric functions could this be the graph? a. Secant b. Tangent c. Cosecant d. Sine 4. What is the range of this graph? a. Ò!ß Ó b. Ð _ß_Ñ c. Ò ß!Ó d. Ò "ß!Ó Use the following graph, shown for!ÿbÿ ß to answer questions Which of the following could be the equation for the above graph? a. C œ sin ÐÐB "ÑÑ " b. C œ sin Ð$BÑ " c. C œ sin Ð$ÐB "ÑÑ d. C œ sin Ð$ÐB "ÑÑ
10 34 Form E 6. What are the vertical asymptotes for the graph of Cœtan B? ( 5is an integer.) a. Bœ5 c. Bœ 5 b. Bœ 5 d. Bœ 5 7. What is the frequency of the sine wave determined by C œ sin Ð$!! BÑ, where B is time in seconds? " " a. $!! b. c. d. 50 "&! $!! 8. The of blood at a value in the heart of a certain rodent is modeled by the $ cosð >Ñ $, is in centimeters per second and > is time in seconds. What is the rodent's heart beat in beats per minute? a. "& bpm b. "! bpm c. '! bpm d. ")! bpm 9. What is the domain of Cœcot ÐBÑ? a. ÖB l B Á 5 c. ÖB l B Á 5 b. ÖB l B Á 5 d. ÖB l B Á 5 0. If we know that the graph of CœEsinÒFB G a bóhas an B-intercept at Bœ ß what else do we know? a. There is another B-intercept at Þ b. There is a vertical asymptote of Bœ for the graph of CœEcsc ÒFaB GbÓ. & c. There is a maximum value at Bœ Þ $ d. There is a minimum value at Bœ Þ. Which of the following equations will shift Cœcos ÐBÑtwo units up and units 6 to the right? a. C œ cos B c. C œ cos B 6 6 b. Cœ cos B d. Cœcos B 6 6. tan ˆ $ œ a. b. c. 0 d. undefined 3. If Cœ cos $B ", then its period is: $ $ $ $ ' a. b. c. d. 4. If Cœ cos $B ", then its range is: $ a. " &, b., c. "", d. [, ] $ $ $ $ ' '
11 Dugopolski's Trigonometry 35 Chapter Test -- Form F Name: Multiple Choice: Choose the best answer for each. Use the following graph, shown for!ÿbÿ ß to answer questions What is the amplitude of the above graph? a. " b. c. d.. What is the period of the above graph? a. " b. c. d. $ 3. Of which of the following trigonometric functions could this be the graph? a. Secant b. Sine c. Cosecant d. Tangent 4. What is the range of this graph? a. Ò!ß Ó b. Ð _ß _Ñ c. Ò"ß Ó d. Ò"ß $Ó Use the following graph, shown for!ÿbÿ ß to answer questions Which of the following could be the equation for the above graph? a. C œ $ cos ÐÐB "ÑÑ " b. C œ cos Ð$BÑ " c. C œ $ cos ÐBÑ " d. C œ ' cos Ð$ÐB "ÑÑ
12 36 Form F 6. What are the vertical asymptotes for the graph of Cœcot B? ( 5is an integer.) a. Bœ5 c. Bœ 5 b. Bœ 5 d. Bœ 5 7. What is the frequency of the sine wave determined by C œ sin Ð&!! BÑ, where B is time in seconds? " " a. &!! b. &! c. d. &! $!! 8. The of blood at a value in the heart of a certain mammal is modeled by the $ cosð >Ñ $, is in centimeters per second and > is time in seconds. What is the rodent's heart beat in beats per minute? a. "& bpm b. "! bpm c. '! bpm d. ")! bpm 9. What is the domain of Cœtan ÐBÑ? a. ÖB l B Á 5 c. ÖB l B Á 5 b. ÖB l B Á 5 d. ÖB l B Á 5 0. If we know that the graph of CœEsin cfb G a bd has an B-intercept at Bœ ß what else do we know? a. There is another B-intercept at Þ & b. There is a maximum value at Bœ Þ $ c. There is a minimum value at Bœ Þ d. There is a vertical asymptote of Bœ for the graph of CœEcsc cfab Gbd.. Which of the following equations will shift Cœcos ÐBÑtwo units up and units 6 to the right? a. Cœ cos B c. Cœcos B 6 6 b. Cœ cos B d. Cœ cos B 6 6. tan ˆ $ œ a. b. c. 0 d. undefined 3. If Cœ cos $B ", then its period is: $ $ $ $ ' a. b. c. d. 4. If Cœ cos $B ", then its range is: $ a. " &, b., c. "", d. [, ] $ $ $ $ ' '
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