pre-cal 40s march 10, 2009

All About Sunrise ...

Sunrise Paddling on the North Canadian River by flickr user FreeWine

What Transformations Do You See?

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

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.