EngageNY
The Definition of Sine, Cosine, and Tangent
Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar...
EngageNY
Graphing the Tangent Function
Help learners discover the unique characteristics of the tangent function. Working in teams, pupils create tables of values for different intervals of the tangent function. Through teamwork, they discover the periodicity, frequency, and...
EngageNY
Why Call It Tangent?
Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of...
Curated OER
Inverse Trig Functions
Learners solve and graph 10 different problems that are the inverses of various trig functions. First, they determine which equation is equivalent to a given equation. Then, they find an angle of a right triangle, given its leg lengths....
EngageNY
Tangent Lines and the Tangent Function
Construct tangent lines and make the connection to tangent functions. An informative lesson reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a circle from a...
EngageNY
Proving Trigonometric Identities
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
CK-12 Foundation
Horizontal Translations or Phase Shifts: Tangent
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes...
Mathematics Vision Project
Module 7: Trigonometric Functions, Equations, and Identities
Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...
Curated OER
Segments Formed by Intersectiong Chords, Secants, and Tangents
Learners investigate the properties of segments formed which chords, secants, and tangents, intersect. The dynamic nature of Cabri Jr. allows students to form and verify conjectures regarding segment relationships.
Curated OER
Pre-Calculus Test Chapter 5: Identities
In this identities activity, students match equivalent expressions containing sine, cosine, and tangent. They solve equations, find intervals, and determine all solutions to an interval. Students prove given identities. ...
Curated OER
Trigonometric Ratios
In this trigonometric ratios worksheet, students determine the value of trigonometric ratios. They find the area of triangles, determine the length of one side, and compute the degrees in an angle. This five-page worksheet...
Curated OER
The Tangent Ratio
Students calculate the tangent ratio given a right triangle. In this trigonometry lesson, students use a right triangle and the Pythagorean Theorem to solve problems.
Curated OER
Right Triangle Trigonometry: Evaluating Trigonometric Ratios
For this right triangle trigonometry worksheet, students use trigonometric ratios to determine the length of a missing side of a triangle or to find a specified angle measurement. This four-page worksheet contains 32 problems. Answers...
Curated OER
Tangents
In this tangents worksheet, students determine the length of a missing side of a right triangles. They use tangent lines to solve problems. This two-page worksheet contains 11 multi-step problems.
Curated OER
Tangents, Secants, and Chords
In this tangents, secants and chords learning exercise, 10th graders identify and solve 48 different problems that include using 3 different theorems for defining circles. First, they determine the area of each circle with C as the...
Curated OER
Tangent Lines
In this tangent lines instructional activity, 10th graders solve and complete 13 various types of problems. First, they solve the right triangles for the variables shown. Then, students name a radius, a diameter, a tangent, a secant, a...
Curated OER
Tangents
In this tangents worksheet, students use tangent ratios to find the length of the sides of right triangles. This one-page worksheet contains 10 multi-step problems. Answers are provided.
Curated OER
Circles:Tangents and Chords
For this circle worksheet, students solve classic chord-chord angle problems with the angle on, in, and outside the circle as well as chord-tangent problems. There are 20 questions.
Curated OER
Does Your Field Measure Up
Students measure angles using a plane table kit. In this geometry lesson plan, students use trigonometric identities to find the values of the length of a football field.
Curated OER
Worksheet 10 - Limits
In this limits worksheets, students graph tangent lines and determine the slope of a secant line. This one-page worksheet contains six multi-step problems.
Curated OER
Review Quiz before Mini-Exam
In this pre-calculus review worksheet, students solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded interest...
CK-12 Foundation
Fundamental Trigonometric Identities: Tangent Identity
An identity that thieves can't steal the tangent identity. Scholars manipulate ratios to investigate the tangent ratio and connect it to the sine and cosine ratios. An interactive that uses color coding helps with this task.
Curated OER
Sine, Cosine, and Tangent Ratios
In this ratios worksheet, 11th graders solve and complete 8 various types of problems. First, they read each problems and draw a sketch for each. Then, students write a trigonometric ratio for each problem and round any decimal answers...
Curated OER
Trigonometric Identities
In this trigonometric learning exercise, students solve problems using the 6 trigonometric ratios. They solve problems using the properties of a right triangle. There are 11 questions with an answer key.