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Sin & Cos Graphs

Sin & Cos Graphs. Section 4.5. OBJECTIVE. Sketch graphs of Sine and Cosine and their Transformations. RELEVANCE. The universe is full of curves but straight lines are easier to measure. So trigonometry provides the basis for using triangles to measure curved space and objects.

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Sin & Cos Graphs

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  1. Sin & Cos Graphs Section 4.5

  2. OBJECTIVE Sketch graphs of Sine and Cosine and their Transformations

  3. RELEVANCE The universe is full of curves but straight lines are easier to measure. So trigonometry provides the basis for using triangles to measure curved space and objects. Sin and Cos graphs describe oscillations or waves.

  4. Spaghetti Activity

  5. Let’s explore the sine graph! • http://www.mathcasts.org/gg/student/trig/sine_unit_circle_degrees.html • http://www.mathcasts.org/gg/student/trig/sine_unit_circle_degrees_plus.html • https://www.geogebra.org/m/zkrCZM2Y • https://www.geogebra.org/m/UjjwuM8p

  6. y = sin Ѳ 0

  7. Let’s explore the cos graph! • https://www.geogebra.org/m/zkrCZM2Y • https://www.geogebra.org/m/UjjwuM8p

  8. 0

  9. Let’s graph it on the calculator. • Make sure the calculator is in radian mode • Type sin(x) in y1 • Press zoom trig • Now let’s look at y = cos(x).

  10. Transformations of Sine & Cosine Graphs

  11. Transformation of sine • http://www.geogebra.org/en/upload/files/english/Roger_Moss/curve_transformations.html

  12. Write the equation of the sine function with the following features.

  13. Write the equation of the sine function with the following features.

  14. Homework • Worksheet #1

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