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Book review

Pre Calculus

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68 pages
2023/2024 Written for academic year
Institution Junior / 11th Grade
Course Mathematics
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The presentations cover graphing sine, cosine, tangent, and cotangent functions. Lesson 12.1 focuses on sine and cosine, explaining their amplitude, period, phase shift, and how to graph them as smooth, repeating curves. Lesson 12.3 discusses tangent and cotangent, highlighting their vertical asymptotes, shorter periods, and real-life use like modeling shadows. Both lessons aim to help students understand the properties and transformations of trigonometric graphs.

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Lesson 12.1

Graphs of the Sine and
Cosine Functions


Precalculus
Capstone Project
Science, Technology, Engineering, and Mathematics

,Did you know that the
sounds produced by
music can be
represented by graphs
of sine and cosine
functions?
2

, Sound travels in waves and frequencies. Thus, it repeats
itself into an infinite set of sine and cosine curves. This is
associated with Fourier Series, named after a French
mathematician and physicist, Joseph Fourier.

In this lesson, we will explore the properties and
characteristics of the graphs of sine and cosine functions
and how to graph them in a rectangular coordinate system.

3

, How do we graph sine and
cosine functions?




4

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