The Mathematics In Jen's Foot (a problem in trigonometric modeling) the girl's got some class by flickr user eyesplash Mikul
The Mathematics In Jen's Foot(a problem in trigonometric modeling)
the girl's got some class by flickr user eyesplash Mikul
An ExampleFor a Saskatchewan town the latest sunrise is on Dec 21 at 9:15 am. The earliest sunrise is on June 21 at 3:15 am. Sunrise times on other dates can be predicted using a sinusoidal equation.
a) Sketch the graph of the sinusoidal function described above.
Trigonometric Modeling and Transformations
Morning at Swiftcurrent Lake
Note: There is no daylight savings time in Saskatchewan.
e) On what days will the sun rise at 7:00am?d) What is the average sunrise time throughout the year?c) Use one of the equations in (b) to predict the time of sunrise on April 6.b) Write 2 equations for the function; one using sine the other cosine.
An ExampleFor a Saskatchewan town the latest sunrise is on Dec 21 at 9:15 am. The earliest sunrise is on June 21 at 3:15 am. Sunrise times on other dates can be predicted using a sinusoidal equation.
a) Sketch the graph of the sinusoidal function described above.
Trigonometric Modeling and Transformations
Note: There is no daylight savings time in Saskatchewan.
Morning at Swiftcurrent Lake
Trigonometric Modeling and Transformations
e) On what days will the sun rise at 7:00am?d) What is the average sunrise time throughout the year?c) Use one of the equations in (b) to predict the time of sunrise on April 6.
b) Write 2 equations for the function; one using sine the other cosine.
Morning at Swiftcurrent Lake
Trigonometric Modeling and Transformations
e) On what days will the sun rise at 7:00am?d) What is the average sunrise time throughout the year?
c) Use one of the equations in (b) to predict the time of sunrise on April 6.
b) Write 2 equations for the function; one using sine the other cosine.
Morning at Swiftcurrent Lake
Trigonometric Modeling and Transformations
e) On what days will the sun rise at 7:00am?
b) Write 2 equations for the function; one using sine the other cosine.
Morning at Swiftcurrent Lake
Now you try ...The pedals on a bicycle have a maximum height of 30 cm above the ground and a minimum distance of 8 cm above the ground. Jen pedals at a rate of 20 cycles per minute.a) What is the period, in seconds for this function?
b) At t = 0, Jen's right foot is closest to the ground.
i) Write 2 equations that represent the height of her right foot above the ground; 1 sine; 1 cosine.
ii) For how long per cycle is Jen's right foot 20 cm, or higher, above the ground?