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Sinusoidal Functions of the World

Jakarta, Indonesia

Cristian Rodriguez,

Period 1

Data Table -

x-axis: Day of the Year

y-axis: Minutes of Daylight

Graph

y = 96.5sin (2π/365 (x - 80)) + 727.5

y = -96.5sin (2π/365 (x - 264)) + 727.5

y = 96.5cos (2π/365 (x - 172)) + 727.5

y = -96.5cos (2π/365 (x - 355)) +727.5

Functions

The maximum occurs at this time because June marks the beginning of the dry season.

MAXIMUM

824

Occurs June 14, 21, and 28; 13:44

The minimum occurs during this time because December is one of the wettest months of the entire year.

Occurs December 28; 10:31

MINIMUM

631

Questions

Presentation Questions

It is dependent on the Earth's rotation.

Amplitude of the Graph

Indonesia is pretty far from the poles and it's very close to the equator. Not only that, but it resides in the southern hemisphere. Because of these factors, weather is normally very warm no matter the time of year. As a result, the maximum and minimum are not too far off from each other.

San Jose had very similar daylight minutes.

Comparison

Costa Rica is actually pretty close to the equator, just like Indonesia is. Because of this, the weather and conditions are almost identical resulting in similar daylight minutes.

World Map

Jakarta, Indonesia 6.2088° S, 106.8456° E

Ethnic Diversity

Jakarta is very well known for the diversity of its cultures, making its shopping centers a gold mine.

About Jakarta

Yes, you read it correctly.

Indonesia has only 2 seasons instead of the 4 we're used to. Rather than having their own spring, summer, fall, and winter, Indonesia splits the year into one long wet season and a shorter dry season.

Only 2 seasons?

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