101 Questions
Ferris Wheel
Around and around you'll go! Learners analyze the periodic nature of a Ferris wheel. Using a trigonometric function, they make predictions about the location of a specific car at the end of the ride and its total trips around the circle.
Curated OER
Sunrise, Sunset
What locations on Earth get the longest number of hours of daylight in the summer? Hint: It's not the equator! Use real-world sunrise and sunset data to develop trigonometric models that can be used to estimate the number of hours of...
Illustrative Mathematics
Seven Circles III
A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...
National Council of Teachers of Mathematics
Tidal Waves
Periodically ship the class a trigonometric application. Pupils model the level of water in a port. Using their models, learners determine the times that a ship can safely navigate into and out of the port, along with determining other...
Curated OER
Foxes and Rabbits 2
Explore the relationship between the population of foxes and rabbits in a national park using trigonometric models. Plot data and find the appropriate trigonometric functions. Two questions require interpretation and explanation of...
Illustrative Mathematics
Foxes and Rabbits 1
Here is where algebra learners begin to understand that a function is a rule, and for each input there is exactly one output. The commentary gets bogged down with information about the predator-prey relationship between the fox and...
Illustrative Mathematics
Two Wheels and a Belt
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Curated OER
Task: Range of Motion
If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. In this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...
Curated OER
Foxes and Rabbits 3
Use realistic data to find trigonometric models that best fit the populations of foxes and rabbits in a national park. Included are detailed explanations of the answers and process. This is a follow-up exercise to the lesson listed in...
Curated OER
As the Wheel Turns
This is not your typical Ferris wheel problem. In this exercise, your class will combine their knowledge of sinusoidal functions as well as linear motion to come up with parametric equations that model the position of a point on the edge...
Curated OER
Sum and Difference angle formulas
Learners use the sum angle formula for sine to derive the sum and difference formulas for cosine and tangent. The level of difficulty is quite high. Learners must be familiar with trigonometric identities as well as the characteristics...
University of Saskatchewan (Canada)
University of Saskatchewan: Trigonometric Functions
This site examines the six trigonometric functions from a right triangle point of view. Provides information, examples, and lots of exercises for understanding.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Trigonometric Functions of General Angles
Twenty-three problems present a variety of practice working with trigonometric functions of general angles. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click...
Interactive Mathematics
Interactive Mathematics: Graphs of the Trigonometric Functions
The tutorial investigates period and frequency by examining the shapes of the sine and cosine functions. The resource consists of definitions, animations, interactive graphs, and examples. Practice problems with solutions are included.
Analyze Math
Analyze Math: Differentiation of Trigonometric Functions
Learners examine the formulas of the derivatives of trigonometric functions. Examples with detailed solutions are included.
Cengage Learning
Cengage: Inverse Trigonometric Functions [Pdf]
This site provides a presentation on inverse trigonometric functions. In the presentation students will learn to evaluate and graph the inverse sine function, other inverse trigonometric functions and the composition of trigonometric...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Trigonometric Functions
The topic summary outlines trigonometric functions. Some topics reviewed are derivatives of trigonometric functions, sine function, trigonometric identities, and indefinite integrals of trigonometric functions. The resource consists of...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Trigonometric Functions
Hotmath provides 24 practice problems relating to trigonometric functions. Each of the practice problems include a step-by-step guide for solving their function.
Analyze Math
Analyze Math: Inverse Trigonometric Functions
The mathematics tutorial examines inverse trigonometric functions. The tutorial consists of explorations and examples. The interactive applet allows students to investigate domain, range, and graphs of inverse trigonometric functions.
Analyze Math
Analyze Math: Solve Inverse Trigonometric Functions Questions
The free mathematics tutorial investigates solving inverse trigonometric functions. The tutorial consists of examples with solutions, theorems, and practice exercises.
Wolfram Research
Wolfram Math World: Inverse Trigonometric Functions
A site on inverse trigonometric functions. Contains a definition, a chart showing functions and their domains, formulas, and many links.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Inverse Trigonometric Functions
Sixteen problems present a variety of practice working with inverse trigonometric functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
University of St. Andrews (UK)
University of St. Andrews: Trigonometric Functions
This site from the University of Saint Andrews provides an historical look at the origins of trig functions. This site ties together mathematics and history from Hipparchus to Ptolemy to Lambert.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Graphs of Trigonometric Functions
Hotmath provides 20 practice problems on graphs of trigonometric functions. Each of the practice problems include a step-by-step guide for solving their graphs.