19 (d) Use a graphing utility to find the sinusoidal function of(c) Draw the sinusoidal function found in part (b) on the(e) Graph the sinusoidal function of best fit on a scatter plot438 CHAPTER 6 Trigonometric Functions6.6 Assess Your Understanding2. True or False A graphing utility requires only two datapoints to find the sine function of best fit.Concepts and Vocabularyis1. For the graph of y = A sin ( ax – p), the numbercalled theSkill Building6. y = 3 cos (2r + 7)points. Show at least two periods.3. y = 4 sin (2r - 7)5. y = 2 cos 3x +4. y = 3 sin (3r - 7)10. y = 2 cos (27x + 4) + 49. y = 4 sin ( TX + 2) – 57. y = -3 sin 2x +8. y = -2 cos 2x -14. y = -3 cos -2x +13. y = - 3 sin-2x +11. y = 3 cos ( TX - 2) + 5buol tol A sb Isbioun l12. y = 2 cos (2ax – 4) - 1118. y = sec (3x – 7)2cot (2r – 7)17. y = 3 csc 2x -15. y = 2 tan (4x – 7)16. у %3DI MonavereIn Problems 19–22, write an equation of a sine function that has the given characteristics.21. Amplitude: 3Period: 3722. Amplitude: 2Period: T20. Amplitude: 319. Amplitude: 2Period: 7Period:Phase shift: -21Phase shift:2Phase shift:Phase shift: 2Applications and Extensions23. Alternating Current (ac) Circuits The current I, in amperes,flowing through an ac (alternating current) circuit at time t,in seconds, is24. Alternating Current (ac) Circuits The current I, in amperes,flowing through an ac (alternating current) circuit at time t,in seconds, isI(t) = 120 sin 30mt -t2 0I(t) = 220 sin ntt2 0What is the period? What is the amplitude? What is the phaseshift? Graph this function over two periods.What is the period? What is the amplitude? What is the phaseshift? Graph this function over two periods.25. Hurricanes Hurricanes are categorized using theA Saffir-Simpson Hurricane Scale, with winds 111-130 milesper hour (mph) corresponding to a category 3 hurricane,winds 131–155 mph corresponding to a category 4 hurricane,and winds in excess of 155 mph corresponding to acategory 5 hurricane. The data on the right represent thenumber of major hurricanes in the Atlantic Basin (category3, 4, or 5) each decade from 1921 to 2010.(a) Draw a scatter plot of the data.(b) Find a sinusoidal function of the formy = A sin (wx – ) + B that models the data.(c) Draw the sinusoidal function found in part (b) on thescatter plot.(d) Use a graphing utility to find the sinusoidal function ofbest fit.(e) Graph the sinusoidal function of best fit on a scatter plotDecade, xMajor Hurricanes, H1921-1930, 1171931-1940, 2161941-1950, 3291951-1960, 4331961-1970, 5271971-1980, 6(a) L(b) F161981-1990, 7161991-2000, 8272001-2010, 933Source: U.S. National Oceanic and Atmospheric Administrationle) Tof the data.ll) L26. Monthly Temperature The data on the next page representthe average monthly temperatures for Washington, D.C.(a) Draw a scatter plot of the data for one period.(b) Find a sinusoidal function of the formy = A sin (ox – 6) + B that models the data,scatter plot.le)best fit.of the data.everala)D Mon

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Description: 19 (d) Use a graphing utility to find the sinusoidal function of(c) Draw the sinusoidal function found in part (b) on the(e) Graph the sinusoidal function of best fit on a scatter plot438 CHAPTER 6 Trigonometric Functions6.6 Assess Your Understanding