Curated OER
The Unit Circle
Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
Curated OER
Slope and Tangent
Students differentiate between the slope and the tangent of the horizontal. For this precalculus lesson, students examine slopes created by tangent lines. They observe the angle formed using properties of the unit circle.
Curated OER
Precalculus Exam
In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
Curated OER
Simply Similar at Sea: Simple Triangles
Tenth graders answer a variety of problems based on similar triangle and learn about the rule of thumb. They will test the rule of thumb by estimating the distance to an object in the classroom.
Curated OER
Solving Trigonometry Problems in Two and Three Dimensions
In this Pre-calculus/Trigonometry worksheet, learners solve trigonometry problems in two and three dimensions. The eleven page worksheet contains explanation, examples, and twenty problems. Answers are not included.
Oswego City School District
Regents Exam Prep Center: Law of Sines and Law of Cosines
This tutorial examines the law of sines and the law of cosines. Includes class notes, examples, and a variety of practice problems with solutions. The teacher resource consists of a lab that utilizes the law of sines and the law of cosines.
Wolfram Research
Wolfram Math World: Law of Sines
This MathWorld page gives a good explanation of the Law of Sines, which relates the lengths of the sides of a triangle to the sines of the opposite angles. This site gives a picture to help clarify the variables used in the equation....
Khan Academy
Khan Academy: Solve Triangles Using the Law of Sines
Solve missing triangle measures using the law of sines. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Lawrence Hall of Science
The Math Page: Trigonometry: The Law of Sines
Work through an explanation of the law of sines, how it is used with an obtuse angle, and a proof of the law of sines. Great site for students studying trigonometry.
CK-12 Foundation
Ck 12: Trigonometry: Law of Sines
[Free Registration/Login may be required to access all resource tools.] Learn how to use the Law of Sines with different types of triangles.
CK-12 Foundation
Ck 12: Geometry: Laws of Sines and Cosines
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to find missing sides and angles in non-right triangles using the Laws of Sines and Cosines.
University of Vienna (Austria)
Trigonometry: Law of Sines
This is demonstration of how the law of sines works. It uses Java applets to manipulate the triangle and allows the user to explore what happens to the values of the triangle as the sides are changed.
Math Is Fun
Math Is Fun: The Law of Sines
Students learn about the law of sines. The tutorial consists of a definition, examples, and practice problems to check for comprehension.
Math Open Reference
Math Open Reference: Law of Sines
A complete reference guide to the Law of Sines. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Khan Academy
Khan Academy: Laws of Sines and Cosines Review
Review the law of sines and the law of cosines, and use them to solve problems with any triangle.
Georgia State University
Georgia State University: Hyper Physics: Laws of Sines and Cosines
At the bottom of this page from the Georgia State University, you will two real-world applications of the Laws of Sines and Cosines (in the context of velocity vectors.)
McGraw Hill
Glencoe Mathematics: Online Study Tools: Self Check Quiz on the Law of Sines
The online assessment demonstrates knowledge of Algebra II. The questions test students on the law of sines.
McGraw Hill
Glencoe Mathematics: Quiz on the Ambiguous Case for the Law of Sines
The online assessment demonstrates knowledge of Algebra II. The questions test students on the ambiguous case for the law of sines.
Math Planet
Math Planet: Algebra 2: Sines
Defines and examines the law of sines through examples and a video lesson. [2:02]
Math Is Fun
Math Is Fun: Triangle Identities
View examples of triangle identities, equations that are true for all triangles: Law of Sines, Law of Cosines, and Law of Tangents. Follow links to learn more about the purpose and examples of each identity.
Government of Alberta
Learn Alberta: Math Interactives: Exploring Trig Ratios
Investigate the cosine, sine, and tangent ratios of trigonometry using this interactive Learn Alberta math resource. Students will use these ratios to determine a right triangle's unknown side or angle. Be sure to follow the link to the...
Analyze Math
Analyze Math: Sine Law Problems
Here are six problems to solve using the Law of Sines. One of the problems addresses the ambiguous case. Four have detailed solutions; two have answers given only. Notice the link at the bottom that takes you to a Law of Sines calculator...
Analyze Math
Analyze Math: Sine Law Ambiguous Case Applet
Learn how the ambiguous case of the law of sines arises from the ASS situation and how to solve problems of this type. Definitely use the applet to visualize the two distinct outcomes that are possible and to understand the circumstances...
Analyze Math
Analyze Math: Triangle Problems
Here are five triangle problems to solve using the Law of Sines, Law of Cosines, Pythagorean Theorem, and trigonometry. All problems have detailed written solutions included.