Curated OER
Law of Sine and Cosine
Students solve problems using the law of sine and cosine. In this precaclulus lesson, students learn the law of DeMoivre's Theorem and Heron's theorem. They use both theorems to solve problems.
Curated OER
Law of Sines
Young scholars solve problems using sine and cosine. For this precalculus lesson, students ask questions about the Law of sines and its application to the real world. They derive the correct formula of sine for each problem.
Curated OER
Concepts in Precalculus 1: Trigonometry
Students investigate trigonometry. In this Algebra II/Pre-calculus/Trigonometry lesson, students explore Islamic achievements in mathematics as they calculate angles and distances using the Law of Sines and the Law of Cosines. ...
Curated OER
Getting Triggy With It
The concept of sine and cosine is explored in this lesson where students graph sine and cosine graphs using a transformation application on the graphing calculator. Students change the coefficients for the amplitude, period, frequency,...
Curated OER
Section 6.1-6.2 Precalculus: Trigonometry
For this trigonometry worksheet, high schoolers solve 15 triangle problems. Students use the law of sines and law of cosines to find the missing angles and side lengths of a triangles.
National Council of Teachers of Mathematics
Improving Archimedes' Method
For this Archmides' method instructional activity, students determine the area of a regular n-gon inscribed in a circle. They use sine and cosine functions to solve problems. This three-page instructional activity contains 4 multi-step...
EngageNY
From Circle-ometry to Trigonometry
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
Curated OER
Does Your Field Measure Up
Students measure angles using a plane table kit. In this geometry instructional activity, students use trigonometric identities to find the values of the length of a football field.
EngageNY
End-of-Module Assessment Task - Geometry (module 2)
Increase the level of assessment rigor with the test of performance tasks. Topics include similar triangles, trigonometric ratios, Law of Sines, Law of Cosines, and trigonometric problem solving.
EngageNY
Awkward! Who Chose the Number 360, Anyway?
Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...
Mathematics Vision Project
Module 7: Modeling with Geometry
Model good modeling practices. Young mathematicians first learn about cross sections and solids of revolution. They then turn their attention to special right triangles and to the Laws of Sine and Cosine.
Curated OER
Integrals with even Powers of Sine and Cosine
Twelfth graders define integrals and solve equations with trig functions. In this calculus lesson, 12th graders integrate integrals with sine and cosine powers. They discuss what method to use based on even or odd exponents.
Curated OER
Easy Worksheet: Trigonometry
In this trigonometry worksheet, learners solve 4 short answer problems. Students find the sine, cosecant, secant or cotangent of an angle given a diagram of a right triangle with various measurements labeled.
Curated OER
Integrals with Even Powers of Sine and Cosine
Students discuss ways to integrate given trigometric functions. They use a trig identity (half angle identities) to solve problems. Students practice solving problems with even powers of both sine and cosine. They change a sum of...
EngageNY
Trigonometric Identity Proofs
Proving a trig identity might just be easier than proving your own identity at the airport. Learners first investigate a table of values to determine and prove the addition formulas for sine and cosine. They then use this result to...
Shodor Education Foundation
Polar Coordinates
Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...
Mathematics Vision Project
Module 6: Modeling Periodic Behavior
Around and around we go ... again, and again, and again, and again! That's the nature of a periodic function. Young scholars learn how to model a periodic pattern with trigonometric functions. The nine-lesson unit explores the connection...
CK-12 Foundation
Derivatives of Trigonometric Functions: Derivative of sin(x)
Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...
CK-12 Foundation
Vertical Translations: Vertical Shift of Sinusoidal Functions
Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from the...
CK-12 Foundation
Determination of Unknown Triangle Measures Given Area: Jib Sheets
Solving triangles is a breeze. Young boat enthusiasts solve problems involving triangles in the context of sails on a boat. They must apply different strategies, including the Law of Cosines and area formulas.
Curated OER
Differentiation of Trigonometry Functions
In this trigonometry worksheet, students differentiate the different trigonometric identities. They derive the sine, cosine, tangent and inverses of these trig identities. There are 18 questions with an answer key.
Curated OER
Trigonometry Worksheet 9
Learners use addition and subtraction formulas and special reference triangles to solve a variety of trigonometric problems. Sine, cosine, and tangent problems in both radians and degrees are included.
Curated OER
Unit Circle Triangle
Learners 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
Further Trigonometry
In this trigonometry worksheet, students solve for trigonometric functions. They convert between radians and angles using the properties of sine, cosine and tangent. There are 30 problems on this handout.
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