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WEEK-25-TRIGONOMETRIC-FUNCTIONS-ON-SCIENTIFIC-FENOMENA
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Created on January 3, 2025
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Trigonometric Functions on Scientific Fenomena
Objectives
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Story
Waves and oscillations
Forces and Structures
Cycles in nature
Story
Waves and Oscillations
Waves are disturbances that transfer energy through space and time.
The sound wave can be modeled using the sine function.
Especifically, the wave function takes the form shown below:
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Forces and Structures
Forces acting on structures can be modeled using trigonometric functions.
Example: Bridge Design
The force acting on a bridge can be represented as:
Cycles in nature
Natural phenomena often exhibit cyclical patterns like trigonometric functions.
Example: Tidal Patterns
Tides can be modeled using the cosine function:
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11TH-TRIGONOMETRIC-FUNCTIONS-ON-SCIENTIFIC-FENOMENA-EN © 2025 by CASURID is licensed under CC BY-NC-ND 4.0
MA.912.T.3 Graph and apply trigonometric relations and functions. MA.912.T.3.1 Given a mathematical or real-world context, choose sine, cosine or tangent trigonometric functions to model periodic phenomena with specified amplitude, frequency, horizontal shift and midline. MA.912.T.3.3 Solve and graph mathematical and real-world problems that are modeled with trigonometric functions. Interpret key features and determine constraints in terms of the context. MA.K12.MTR.7.1 Apply mathematics to real-world contexts. ELD.K12.ELL.MA.1 English language learners communicate information, ideas and concepts necessary for academic success in the content area of Mathematics.