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Trigonometric Models

2. Trigonometric Functions, Models, and Regressions. Examples: Sunspot Activity, Piston in a Cylinder Tides, AC Current and AC Voltage Average Daily Air Temperature Seasonal Fluctuations in Business Demand Hair Cut/Growth, Fluffy Paces on the Ledge, Sound Waves, ?etc.. 3. Calculating sin(q),

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Trigonometric Models

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    3. 3 Calculating sin(q), cos(q), and tan(q) Triangle method: SOH, CAH, TOA “SOH” sin(q) = (opposite side)/hypotenuse “CAH” cos(q) = (adjacent side)/hypotenuse “TOA” tan(q) = (opposite side)/(adjacent side)

    4. 4 The Sine Function

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    10. 10 The Cosine Function

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    16. 16 Other Trignometric Functions The Tangent and Cotangent Functions tan(x) = sin(x)/cos(x)

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    18. 18 Example: Cash Flows into Stock Funds

    19. 19 Example: Cash Flows into Stock Funds

    20. 20 Another Example of Periodic Systems Sunspot Counts

    21. 21 Section 9.1 Problem #39 (Waner pp. 552?553)

    22. 22 Section 9.1 Problem #39 (Waner pp. 552?553)

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