Chapman University
A Pythagorean-Style Proof of the Sine Sum-of-Angles Formula
This well organized poster shows a step-by-step algebraic proof and related graphic. Understanding how formulas were derived, connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will...
Curated OER
AC Phase
In this AC phase worksheet, students answer 24 questions about AC and DC voltages, phasor diagrams, sine wave graphs and Lissajous figures.
Curated OER
Worksheet 14
In this math worksheet, students analyze a path around a circle. The interval is defined. Students sketch a graph of a given parametric curve. Five application problems give students practice using these concepts in real life situations.
Curated OER
Matter and Motion 3
In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...
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.
Curated OER
Integrals with Odd Powers of Sine and Cosine
Students review the power rule for integrals. They watch as the teacher demonstrates several problems. Students describe problems as an integral of u^n or du/u. They discuss problems that are not u^n because of the absence of a...
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
Sine, Cosine, and Tangent Ratios
In this ratios learning exercise, 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...
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...
Coastal Carolina University
Graphs of the Six Trigonometric Functions
Your learners will appreciate having this color-coded set of the six trigonometric functions all on one page. Included are the graphs for sine, cosine, tangent, cosecant, secant, and cotangent. Notice that part of each graph is...
Illustrative Mathematics
Sum and Difference Angle Formulas
Need practice deriving trigonometric angle formulas? With this worksheet, pupils derive the sum and difference formulas for cosine and tangent and the difference formula for sine. Scholars use the sine sum formula and other known...
EngageNY
Properties of Trigonometric Functions
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the instructional...
EngageNY
Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third lesson plan in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the...
EngageNY
An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
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...
EngageNY
Trigonometry and Complex Numbers
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the...
Alabama Learning Exchange
Unit Circle: Special Angles—Just Know One
It's all about the patterns! Young scholars learn that the unit circle repeats itself in all four quadrants. Using these patterns, they evaluate the sine, cosine, and tangent of special angles.
Curated OER
Unit Circle Triangle
Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
Curated OER
River Width
Middle schoolers determine the level of accuracy needed for computations involving measurements and irrational numbers. They use the correct number of digits in computation to achieve an appropriate unit or level of accuracy when...
Curated OER
Using Trigonometric Ratios
Young scholars solve problems using sine and cosine. In this trigonometry instructional activity, students apply the properties of sine and cosine to solve triangular problems. They identify when to use law of sines using angle-side...
Curated OER
Sinusoidal modelling of Canad'a youth cohorts
Pupils explore the general form of the sine equation. In this trigonometry lesson, students explore the relationship between the changing parameters and the graph of the sine equation. Pupils use data and a statistical...
Curated OER
Worksheet 34
In this math worksheet, students are given terms from the Fourier sine or cosine series. They solve for the corresponding term that is in the solution u(x,t). Boundaries are specified. Three application problems follow the terms.
Curated OER
Unit 9 Trigonometry
In this trigonometry activity, learners find the lengths of triangles. They construct triangles and spirals. Students complete indirect measurement problems. They find the distance between objects and determine the volume of rectangular...
Curated OER
Trigometric Ratios
This lesson requires a worksheet that is not connected. It is integral to the lesson.
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