Graph transformations of tangent functions.
?
?
?
For the first anchor problem, consider giving each table to a different group and then tiling the graphs together.
?
Calculate each value of $${\mathrm{tan}(x)}$$ to two decimal places for each of the charts below. Then, approximate the graph.
Algebra II > Module 2 > Topic B > Lesson 14 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 The Match Foundation, Inc.For each set of expressions below, all expressions are equivalent. Explain why this makes sense.
$${\mathrm{tan}(\pi+x)}$$ and $${\mathrm{tan}(2\pi+x)}$$
$${\mathrm{tan}(-x)}$$ and $${\mathrm{tan}(\pi-x)}$$ and $${\mathrm{tan}(2\pi-x)}$$
Algebra II > Module 2 > Topic B > Lesson 14 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 The Match Foundation, Inc.Graph that function $${f(x)=-2\mathrm{tan}(x)}$$.
?
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
?
a. Sketch a graph of the function $${f(x)=\mathrm{tan}\left(\frac{x}{2}\right)}$$.
b. What is the period of this function? Why?