Graph transformations of sine and cosine functions (Part I).
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The points on the graphs and the unit circle below were chosen so that there is a relationship between them.
Explain the relationship between the coordinates $$a$$, $$b$$, $$c$$, and $$d$$ marked on the graph of $$y=\sin(t) $$ and $$y=\cos(t)$$ and the quantities $$A$$, $$B$$, and $$C$$ marked in the diagram of the unit circle below.
Trig Functions and the Unit Circle, accessed on Feb. 26, 2018, 3:25 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Of sine and cosine, one function is even and the other is odd. Why is this the case?
Match each graph with its equation.
$${y=\mathrm{sin}x}$$
$${y=2\mathrm{sin}x}$$
$${y=\mathrm{sin}(2x)}$$
$${y=\mathrm{sin}x}+2$$
Sine Graphs and Equations is made available by New Visions for Public Schools under the CC BY-NC-SA 4.0 license. © 2017 New Visions for Public Schools. Accessed https://curriculum.newvisions.org/math/resources/resource/algebra-ii-unit-3-big-idea-4-sine-graphs-and-equations/.
Modified by Fishtank Learning, Inc.?
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Sketch a graph of the sine function on the interval $${0<x<2\pi}$$ showing all key points of the graph (vertical and horizontal intercepts and maximum and minimum points). Mark the coordinates of the maximum and minimum points and the intercepts.
Algebra II > Module 2 > Topic A > Lesson 8 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by Fishtank Learning, Inc.Sketch a graph of the cosine function on the interval $${0<x<2\pi}$$ showing all key points of the graph (vertical and horizontal intercepts and maximum and minimum points). Mark the coordinates of the maximum and minimum points and the intercepts.
Algebra II > Module 2 > Topic A > Lesson 8 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by Fishtank Learning, Inc.