Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Sine, Cosine, and Tangent Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Calculate sine, cosine, and tangent functions using the sides of a right triangle.
Handout
Math Is Fun

Math Is Fun: Sohcahtoa: Sine, Cosine, Tangent

For Students 9th - 10th Standards
Students learn about the relationships between sine, consine, and tangent. The tutorial consists of notes, examples, and practice problems to check for comprehension.
Activity
Texas Instruments

Texas Instruments: Trig Ratios Exploring Sine, Cosine and Tangent

For Teachers 9th - 10th
Using the Cabri Jr. App and the 83+/84+ calculators, students explore and calculate the various trig ratios. This is an easy construction but be sure to allow plenty of time for exploration and completion of the worksheet questions in...
Interactive
Walter Fendt

Walter Fendt: Sine, Cosine and Tangent of an Angle

For Students 9th - 10th Standards
A short interactive activity to visualize the trigonometric functions: sine, cosine, and tangent.
Handout
Wolfram Research

Wolfram Math World: Law of Sines

For Students 9th - 10th Standards
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....
Handout
Windstream

Ojk's Precalculus Study Page: Sum and Difference Formulas for Tangent

For Students 9th - 10th Standards
This tutorial introduces the sum and differnce formulas for tangent, and gives several examples of problems to be solved as well as proving other identities. Assumes knowledge of the sum and difference formulas for sine and cosine.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Unit Circle

For Students 9th - 10th Standards
Two hands-on lab activities for instructors to use when teaching about the coordinate graphs of the sine, cosine, and tangent functions derived from a unit circle. The graphs of the reciprocals of the three functions are investigated....
Interactive
Government of Alberta

Learn Alberta: Math Interactives: Exploring Trig Ratios

For Students 6th - 8th
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...
Interactive
Government of Alberta

Learn Alberta: Math Interactives: Exploring Trigonometry (Video Interactive)

For Students 6th - 9th
This multimedia Learn Alberta math resource looks at how trigonometry is used in making sure that airplanes land safely at airports. The accompanying interactive component gives students practice in using trigonometric ratios, namely...
eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 7.2 Sine and Cosine Ratios

For Students 9th - 10th Standards
Discover sine and cosine ratios in trigonometric ratios.
Unit Plan
CK-12 Foundation

Ck 12: Exact Values for Inverse Sine, Cosine, and Tangent

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Find all angles on the unit circle matching exact trig ratios. Resource includes examples, videos, and practice problems.
Graphic
Analyze Math

Analyze Math: Table for the 6 Trigonometric Functions for Special Angles

For Students 9th - 10th Standards
Learners explore the special angles for the six trigonometric functions. The special angles can be used to solve trigonometry problems. The table gives the values of sine, cosine, tangent, cotangent, secant, and cosecant for special angles.
Activity
Math2

Math2: Trigonometric Graphs

For Students 9th - 10th
Sketches of the graphs of the 12 "parent," trigonometry functions are given: sine, cosine, tangent, secant, cosecant, cotangent, arcsine, arccosine, arctangent, arcsecant, arccosecant, and arccotangent.
Graphic
Math2

Math2.org: Trigonometry Tables

For Students 9th - 10th Standards
Three trig tables are provided for student and teacher reference. The first table lists the sine, cosine, tangent, secant, cosecant, and cotangent values of all whole-number angles from 0 to 90. The radian equivalent (to four decimals)...
eBook
Mathigon

Mathigon: Geometry: Triangles and Trigonometry: Trigonometry

For Students 9th - 10th
This lesson focuses on trigonometry including the trigonometric functions: sine, cosine, and tangent.
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 4.8 Pythagorean Identities

For Students 9th - 10th Standards
This section explores the Pythagorean Identity and how it applies to right triangles set inside unit circles, in terms of sine, cosine, and tangent functions.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Special Triangles 1

For Teachers 9th - 10th Standards
Using known facts about the unit circle and isosceles triangles together with the Pythagorean Theorem, students can derive the sine and cosine of special angles. Aligns with HSF-TF.A.3.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Special Triangles 2

For Teachers 9th - 10th Standards
Using known facts about the unit circle and isosceles triangles together with the Pythagorean Theorem, young scholars can derive the sine and cosine of special angles. Aligns with HSF-TF.A.3.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Equilateral Triangles and Trigonometric Functions

For Teachers 9th - 10th Standards
The purpose of this task is to apply knowledge about triangles to calculate the sine and cosine of 30 and 60 degrees. Aligns with HSF-TF.A.3.
Unknown Type
Khan Academy

Khan Academy: Algebra Ii: Trig Values of Special Angles

For Students 9th - 10th Standards
Find the sine and cosine of special angles, which are angles whose trig values we can determine without the use of a calculator. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Article
Other

Lifewire: Excel Tan Function: How to Find the Tangent Angle

For Students 11th - 12th
This article shows you how to find the tangent angle using Excel. You may be able to accomplish this on a scientific calculator, but if you don't have one handy, Excel can help you make these calculations better than anything else.
Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Trig Tour

For Students 9th - 10th Standards
Take a tour of trigonometry using degrees or radians! Look for patterns in the values and on the graph when you change the value of theta. Compare the graphs of sine, cosine, and tangent.
Activity
Interactive Mathematics

Interactive Mathematics: Trigonometric Functions

For Students 9th - 10th
Just about everything you need to know about trigonometry can be found here. Interactive examples and demonstrations help to enhance the lessons. Although not required, the tutorial uses Live Math and Scientific Notebook.
Interactive
Calculator Soup

Calculator Soup: Trigonometric Functions Calculator

For Students 9th - 10th Standards
This online trigonometry calculator will calculate the sine, cosine, tangent, cotangent, secant and cosecant of angle values entered in degrees or radians. The trigonometric functions are also known as the circular functions.

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