Trigonometric TANGENT FUNCTIONS. How to graph tangent [tan] functions step-by-step with vertical asymptotes and 5 critical points. Students are first introduced to the graph of the parent secant function y=secx by evaluating the unit circle to fill in the Table of Values. Identifying vertical asymptotes, understanding why they occur, and where. Students are also given the graphs of tangent functions and show algebraically that there are, in fact, asymptotes by plugging in those asymptote x-values and reaching undefined values.

THIS ZIP-FILE INCLUDES 19 PAGES.

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✫ THIS PACKAGE IS ALSO INCLUDED IN MY BUNDLES:

1) Graphing Sine, Cosine & Tangent Functions

2) Graphing Other Trig Functions [tan, cot, sec, csc]

3) Graph All 6 Trigonometric Functions [Sin, Cos, Tan, Csc, Sec, Cot]

4) Mega-Bundle: Evaluate Trig & Inverse Trig Functions / Graph ALL 6 Trig Functions

✫ CHECK OUT all of my trig reference sheets: Transformations, Graphing, & Inverse Functions

✫ CHECK OUT my Related Bundle: Graph Sine & Cosine Functions Step-by-Step

✫ CHECK OUT my Related Lesson: Graphing and Evaluating Inverse Trig Functions

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LIST OF TOPICS:

➤ I recommend to also show students graphs with the desmos calculator which shows unwrapping the unit circle.

➤ Students begin the lesson by filling in the Table of Values for the tangent parent function y=tanx by evaluating the unit circle with 13 carefully chosen special angles that show 3 periods.

➤ Students use the Table of Values to graph the tangent function.

➤ Students are given graphs of 2 tangent functions showing the x-values of vertical asymptotes; they have to algebraically check that these are in fact asymptotes by plugging them into the equation and producing undefined values.

➤ Students are given an equation of a tangent function and are asked to find one of the x-intercepts.

➤ Students learn WHY in order to graph any tangent function, we must set bx-c equal to positive pi/2 as well as to negative pi/2.

➤ Students use the reference sheet to graph tangent functions. Overall there are 8 examples inside the lesson packet. A 4-problem worksheet is also included. The teacher has the freedom to use those problems however he/she chooses.

➤ The reference sheet shows how to graph tangent functions in 4 simple steps. It shows a graph of the parent function y=tanx for reference. There are 9 bullet points under "Other Notes", which discuss important information such as the domain and range, the function increasing/decreasing, and much more!

INCLUDED:

- Step-by-step answer keys / notes to EVERYTHING!

- Fill-in-the-blank full lesson packet [6 pages] with examples

- Detailed reference sheet

- Double-sided graphing transformations worksheet

CHECK OUT MY BUNDLES:

1) Introduction to the Unit Circle

2) Full Unit: Unit Circle, Angles & Radians, Angular/Linear Speed & Arc Length/Area of Sector

3) Introduction & Graphing Sine and Cosine Functions

4) Graph Sine, Cosine & Tangent Functions Step-by-Step

5) Graphing Other Trig Functions [tan, cot, sec, csc]

6) Graphing ALL 6 Trigonometric Functions

7) Mega-Bundle: Evaluate Trig & Inverse Trig Functions / Graph ALL 6 Trig Functions

8) Polar & Rectangular Coordinates and Equations

9) Complex Numbers: Polar and Rectangular Forms

10) Full Unit - Complex Numbers [Polar, Rectangular & Euler Forms]

ALSO CHECK OUT: Precalc Midterm Exam with Study Guide