7 Radian Trig Graph Word Problems.notebook March 14, 2014 1 7 Radian Trig Graph Word Problems.notebook March 14, 2014 2 7 Radian Trig Graph Word Problems.notebook March 14, 2014 Radian Trig Graph Word Problems Goal: To solve word problems involving radian trig graph equations that model reallife phenomena. 3 7 Radian Trig Graph Word Problems.notebook March 14, 2014 Solving Trigonometric Word Problems using Trig Graphs MAKE SURE YOUR CALCULATOR IS IN RADIAN 1.) The tide at a boat dock can be modeled by MODE!!!!!! the equation: Amplitude = where t is the number of hours past noon and y is the height of the tide in feet Frequency= Period= How many hours between t = 0 and t = 12 is the tide at least 7 feet? x min x max x scl y min y max y scl 4 7 Radian Trig Graph Word Problems.notebook March 14, 2014 2.) The temperature in Syracuse varies throughout the year. A Sinusoidal equation provides a good model for the average temperature throughout the year. The equation: represents the average temperature in Syracuse as a function of time, t in months. Note: t = 0 represents January 1st _____________To the nearest integer What is the average temperature in January? _____________To the nearest integer What is the average temperature in February _____________What is the amplitude of the equation? Nearest whole degree x min x max x scl y min y max y scl 5 7 Radian Trig Graph Word Problems.notebook March 14, 2014 3.) The occurrence of sunspots during September can be modeled by the equation: Note: 30 days in September in which x is the day of the month. What are the maximum number of sunspots that occurred in September? What are the minimum number of sunspots that occurred in September? What is the average value of sunspots that occurred in September? Note: (Max + Min)/2 x min x max x scl y min y max y scl Amplitude = Frequency= Period= 6 7 Radian Trig Graph Word Problems.notebook March 14, 2014 4.) x min x max x scl y min y max y scl Amplitude = Frequency= Period= 7 7 Radian Trig Graph Word Problems.notebook March 14, 2014 5.) A grandfather clock has a pendulum that moves from its central position according to the function Where t represents time in seconds. How many seconds does it take the clock to complete one full cycle from center to the left then the right and then back to center? x min x max x scl y min y max y scl Amplitude = Frequency= Period= 8 7 Radian Trig Graph Word Problems.notebook March 14, 2014 6.) The depth of the water on the shore of a beach varies as the tide moves in and out. The equation: models the depth of the water, D(t), in feet and t as time in hours. a.)_____________What is the amplitude of the equation? b.)_____________What is the period of the equation? c.)_____________In how many hours will the tide be at its lowest? d.)_____________How deep will the water be 2 hours after the high tide? e.)_____________When will the water be 2 feet deep? Nearest tenth of an hour x min x max x scl y min y max y scl 9 7 Radian Trig Graph Word Problems.notebook March 14, 2014 Homework: pg. 407409 #'s 1,2,4,5 10 7 Radian Trig Graph Word Problems.notebook March 14, 2014 11
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