Curated OER
Trigonometric Graphing
Students analyze graphs. In this trigonometric lesson, students identify the different graphs of sine, cosine and tangent. They graph the inverse of those trig values and identify their properties such as phase shift and period.
Curated OER
Graphs of the Sine and Cosine Function
In this college level Pre-Calculus worksheet, students investigate the graphs of the sine and cosine functions. The six page worksheet contains seventy-eight problems. Solutions are not provided.
Illustrative Mathematics
Exploring Sinusoidal Functions
What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of the...
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...
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 lesson connects them...
EngageNY
Solving Problems Using Sine and Cosine
Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles. When...
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...
Concord Consortium
Here Comes the Sun
Many phenomena in life are periodic in nature. A task-based lesson asks scholars to explore one of these phenomena. They collect data showing the sunrise time of a specific location over the period of a year. Using the data, they create...
Curated OER
Worksheet 6.7 MT-A141 PreCalculus
In this PreCalculus worksheet, students explore inverse relations of sine, cosine, and tangent. They graph three functions and describe the inverse function.
Curated OER
Mathematics B: New York High School Test
In this mathematics instructional activity, students solve problems pertaining to high school mathematics. Problems include topics such as finding the sine, cosine and tangent. They graph functions, work with statistics, solve...
Curated OER
Inverse Trigonometry
In this math worksheet, students graph each function while focusing upon finding the domain and range of each one. They also find the exact values using sine, cosine, and tangent.
Chapman University
Graphs of the Sine and Cosine Function in Degrees
This bright, clear, graphic, display of the sin(x) and cos(x) functions spans the domain between -360 degrees and 360 degree. Use it as a poster, handout, presentation slide, or project it onto a whiteboard.
Chapman University
Graphs of the Sine and Cosine Function in Radians
This bright, clear, graphical display of the sin(x) and cos(x) functions spans the domain between -2 pi radians and 2 pi radians. Use it as a poster, handout, presentation slide, or project it onto a whiteboard.
Curated OER
Exercise Set 5.4: Inverse Trigonometric Functions
For this trigonometric functions worksheet, high schoolers solve 68 multi-part short answer and graphing questions. Students evaluate inverse trigonometric functions for a given value. High schoolers graph inverse trigonometric functions.
Mathematics Vision Project
Module 6: Trigonometric Functions
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
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...
Curated OER
Does Your Field Measure Up
Learners measure angles using a plane table kit. In this geometry lesson, students use trigonometric identities to find the values of the length of a football field.
EngageNY
The Height and Co-Height Functions of a Ferris Wheel
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel.
Curated OER
Worksheet 4 - Math 126: Sketching Polar Equations
In this sketching polar equations worksheet, students solve 5 short answer and graphing problems. Students describe a curve given the equation of the curve in polar form. Students sketch a graph of the equation.
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.
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...
Concord Consortium
Broken Spreadsheet II
Work in reverse with the product becoming the given. Using a spreadsheet image of the graph of a trigonometric function, young scholars investigate methods of creating spreadsheet data that results in the given graph. The catch? The data...
PHET
Trig Tour
Unit circles and trigonometric graphs go hand in hand. Pupils see how traversing the unit circle allows for the creation of graphs for trigonometric functions. They also see trigonometric ratios in terms of the ordered pairs of points on...