Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Applications of Inverse Trigonometric Functions

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to apply inverse trig functions to solve problems you would see in real-life situations.
Activity
Lawrence Hall of Science

The Math Page: Trigonometry: Trig Functions of an Acute Angle

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the trigonometric functions of acute angles within a right triangle. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
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Oswego City School District

Regents Prep: Applications of Trigonometric Graphs

For Students 9th - 10th Standards
Students can use this site to practice questions dealing with trigonometric graphs. Students are challenged with multiple real-world problems and after solving those problems they can check their solution online.
Handout
Purple Math

Purplemath: Basic Trigonometric Ratios: Examples

For Students 9th - 10th Standards
Demonstrates how to use trig ratios to do simple solving of triangles.
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Khan Academy

Khan Academy: Trigonometry: Evaluate Inverse Trig Functions

For Students 9th - 10th Standards
Given a sine, cosine, or tangent value, find the principle angle that has this value. In other words, find the arcsine, arccosine, or arctangent of that value. Students receive immediate feedback and have the opportunity to try questions...
Handout
Wikimedia

Wikipedia: Trigonometric Function

For Students 9th - 10th
This page from Wikipedia, a free and open-source encyclopedia, covers how to solve a variety of trigonometric equations, most of which involve substitution with a trigonometric identity. The identities themselves are not covered, but...
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Derivatives of Trig. Functions

For Students 9th - 10th
Here is a site that clearly and thoroughly explains how to find the derivative of each of the six trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
Handout
Lawrence Hall of Science

The Math Page: Trigonometry: Inverse Trigonometric Function

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains each of the six inverse trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
Unit Plan
University of California

Uc Davis: Trigonometric Integrals

For Students 9th - 10th
This site lists numerous trigonometric identities and integrals. It also provides several examples of how to solve integrals.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C, G Srt Setting Up Sprinklers

For Teachers 9th - 10th Standards
In this task, students must decide where to place sprinklers on a lawn so that the maximum area of the lawn will be watered. To solve it, they must find areas of sectors of circles and use trigonometric ratios to solve right triangles....
Activity
Texas Instruments

Texas Instruments: Math Today When a Ruler Isn't Enough

For Teachers 9th - 10th Standards
This activity illustrates a real-life problem that uses trigonometry to solve for an unknown. students can use trigonometric ratios and inverse trigonometric relationships to determine the side of a triangle and the measure of the...
Activity
Texas Instruments

Texas Instruments: Real Life Real World Activity Forestry

For Teachers 9th - 10th
Forest industry professionals make measurements in their work using tools including the Clinometer and the Biltmore Stick. These tools are based on the concepts of similar triangles and trigonometric ratios in a right triangle. This...
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Khan Academy

Khan Academy: Solve Sinusoidal Equations (Basic)

For Students 9th - 10th
Solve equations of the form sin(x)=d or cos(x)=d where d is any number. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Khan Academy

Khan Academy: Solve Sinusoidal Equations

For Students 9th - 10th
Solve equations of the form a*sin(bx+c)=d or a*cos(bx+c)=d where a, b, c, and d are any number. Students receive immediate feedback and have the opportunity to try questions repeatedly or receive hints.
Activity
Analyze Math

Analyze Math: Solve Inverse Trigonometric Functions Questions

For Students 9th - 10th Standards
The free mathematics tutorial investigates solving inverse trigonometric functions. The tutorial consists of examples with solutions, theorems, and practice exercises.
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Derivatives of Inverse Trig Fx

For Students 9th - 10th
Here is a site that clearly and thoroughly explains how to find the derivatives of the six inverse trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems....
Activity
Windstream

Ojk's Precalculus Study Pages: Solving Right Triangles

For Students 9th - 10th Standards
An introduction to all six trigonometric function in the setting of right triangles. This tutorial begins with the six definitions and goes through applications involving angles of elevation and angles of depression. Includes several...
Handout
Purple Math

Purplemath: Graphing Trigonometric Functions

For Students 9th - 10th Standards
This resource explains how to relate constants in trigonometric function to amplitudes, vertical shifts, periods, and horizontal or phase shifts with the help of many solved examples for various trigonometric functions.
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.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Graphs of Trigonometric Functions

For Students 9th - 10th Standards
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.
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Khan Academy

Khan Academy: Trigonometric Ratios in Right Triangles

For Students 9th - 10th Standards
Given the side lengths of a right triangle, find the sine, cosine, or tangent of one of the acute angles. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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
Texas Instruments

Texas Instruments: Solving Problems Using Trigonometry

For Teachers 9th - 10th
Solving real life problem using trig ratios. Example: Finding the angle of elevation or the angle of depression. Finding the angle between two lines. Finding equation of a line that passes through two points.
Handout
Windstream

Ojk's Precalculus Study Page: Easier Trigonometric Equations

For Students 9th - 10th Standards
An introduction to solving trigonometric equations, including finding general and particular solutions. The connection between the tangent function and the slope of a line is also covered. Includes several examples and graphs.