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Sin & Cos Graphs

Dive into the world of sine and cosine graphs! This guide will help you understand the properties of these fundamental trigonometric functions. Explore the sine and cosine graphs through interactive online resources and calculators. Learn about the amplitude, period, and phase shift, along with how to write equations based on specific characteristics. Whether you’re studying for homework or just curious about transformations in trigonometry, this exploration will solidify your understanding of these essential mathematical concepts.

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Sin & Cos Graphs

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  1. Sin & Cos Graphs

  2. 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

  3. y = sin Ѳ 0

  4. Let’s explore the cosine graph. • http://www.mathcasts.org/gg/student/trig/cosine_unit_circle_degrees_plus.html • http://www.mathcasts.org/gg/student/trig/cosine_unit_circle_rad.html

  5. y = cos Ѳ 0

  6. 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).

  7. Transformations of Sine & Cosine Graphs

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

  9. y= A sin (kѲ+c) + d • Amplitude = (A) • Period = • Phase Shift =

  10. Write the equation of the sine function with the following features. • Amplitude = 5 • Period = 90° • PS = 4°

  11. Write the equation of the sine function with the following features. • Amplitude = 4 • Period = • PS =

  12. Homework • Worksheet #1

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