Schoolcraft College
Trigonometry
This trigonometry textbook takes the learner from a basic understanding of angles and triangles through the use of polar coordinates on the complex plane. Written by a mathematician-engineer, examples and problems here are used to...
Curated OER
Trig functions and Triangles
Here is a basic plan for the beginning teacher to use for introducing the class to the right triangle trigonometric functions. It outlines the lesson objectives, class procedures, and basic instructional techniques that could be used.
Curated OER
Trigonometric Functions of Special Angles
Students explore the concept of the six trigonometric functions, places where the functions can be utilized, and apply these functions to several electrical application problems.
Curated OER
Adding Trigonometric Functions
Students identify trigonometric functions. For this trigonometry lesson, students add and subtract trigonometric functions. They add sine and cosine waves and relate it to the real world.
Curated OER
Trigonometry Practice: Trigonometric Graphs #2
In this trigonometric functions worksheet, high schoolers solve 8 multiple choice and graphing problems. Students graph trigonometric functions given an equation and match graphs to a given scenario.
EngageNY
Special Triangles and the Unit Circle
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value of...
EngageNY
Tides, Sound Waves, and Stock Markets
Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions.
Curated OER
Worksheet 9: Trig Functions
For this math worksheet, students are given 7 problems in which they write expressions for trig functions, compute limits and graph functions.
Concord Consortium
Betweenness V
Take a unique approach to study the graphing of trigonometric functions. Young scholars consider two sine functions and write three functions that will lie between the two given. They use a graphing utility to assist in their explorations.
Curated OER
Special Right Triangles
In this special right triangle worksheet, students use the trigonometric functions to determine angle measurement or the length of one side of a right triangle. This one-page worksheet contains 18 problems. Answers are provided at the...
Curated OER
Trigonometric Functions
In this trigonometric functions learning exercise, students solve and complete 4 different types of problems. First, they decide whether the given equation defines y to be a function of x and find the domain. Then, students graph each...
Curated OER
Trigonometric Functions
In this trigonometric functions worksheet, 11th graders solve 10 different problems that include applying various trigonometric functions in each. First, they determine the nearest degree that contains the measure of an acute angle...
Curated OER
Graph Trigonometric Functions
In this graphing trigonometric functions worksheet, high schoolers graph 1 sine equation. Students plot the graph of the function y=-0.5sin(-3x).
Curated OER
Trigonometric Functions
In this trigonometric functions learning exercise, 11th graders solve and complete 5 different sets of problems. First, they find each angle using angle addition/subtraction formulas as shown. Then, students prove each of the identities...
Curated OER
Trigonometric Functions
Here is a worksheet that includes three short trigonometry problems. Learners must use trigonometric definitions and identities to solve. Use this resource to review trigonometry, or as an assessment.
EngageNY
Secant and the Co-Functions
Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.
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....
CK-12 Foundation
Basic Trigonometric Limits: Evaluating Limits of tan(x)
Chase a periodic moving limit. Learners graphically determine the limit of the tangent function at different input values. Using sliders, pupils find out whether the tangent function approaches the same value from the left and the right....
Curated OER
Exercise Set 5.1: Trigonometric Functions of Real Numbers
In this trig functions worksheet, students find the trig values of 46 problems. Students find the trig values of various radian measures. Students use trig properties to prove trig identities.
Curated OER
Exploring Trigonometric Functions
High schoolers are introduced to the characteristics of trigonometric functions. In groups, they analyze graphs of sine and cosine to determine the lengths of a triangle. They compare and contrast the graphical and numerical...
Rice University
Algebra and Trigonometry
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
CK-12 Foundation
Reciprocal Identities
Get a better understanding of the trigonometric functions by taking a look at the flip side. Pupils create angles within a unit circle and compare the values of the standard trigonometric functions to their reciprocal functions. The...
Illustrative Mathematics
Exploring Sinusoidal Functions
What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of the...
Flipped Math
Unit Circle and Radians
Measure angles is easy as pi. Pupils review special right triangles to find exact values for trigonometric functions. Scholars learn about radians and how they connect to measurements in degrees. They find exact and approximate values of...