Illustrative Mathematics
Illustrative Mathematics: F Tf Trigonometric Functions for Arbitrary Angles
The purpose of this task is to examine trigonometric functions for obtuse angles. Aligns with F-TF.A.2.
Illustrative Mathematics
Illustrative Mathematics: F Tf, F if as the Wheel Turns
In this task, students use trigonometric functions to model the movement of a point around a wheel and through space. Students also interpret features of graphs in terms of the given real-world context. Aligns with F-TF.B.5 and F-IF.B.4.
Illustrative Mathematics
Illustrative Mathematics: F Tf Hours of Daylight 1
In order to determine how effective solar panels would be at various times of the year, it is important to know the amount of daylight at a given location. Students are asked to find an appropriate function that serves as a mathematical...
University of St. Andrews (UK)
University of St. Andrews: Trigonometric Functions
This site from the University of Saint Andrews provides an historical look at the origins of trig functions. This site ties together mathematics and history from Hipparchus to Ptolemy to Lambert.
Purple Math
Purplemath: Graphing Trigonometric Functions
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.
Khan Academy
Khan Academy: Trigonometry: Evaluate Inverse Trig Functions
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...
Interactive Mathematics
Interactive Mathematics: Phase Shift
The tutorial investigates phase shift by examining the shapes of the sine and cosine functions. The resource consists of definitions, animations, interactive graphs, and examples. Practice problems with solutions are included.
Analyze Math
Analyze Math: Table for the 6 Trigonometric Functions for Special Angles
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.
CK-12 Foundation
Ck 12: Geometry: Sine, Cosine, Tangent
[Free Registration/Login may be required to access all resource tools.] Find the sine, cosine, and tangent of right triangles.
CK-12 Foundation
Ck 12: Inverse of Functions Through Algebraic Manipulation
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to find the inverse of functions through algebraic manipulation.
CK-12 Foundation
Ck 12: Trigonometry: Amplitude, Period, and Frequency
[Free Registration/Login may be required to access all resource tools.] Combine calculations for amplitude and period on a sine or cosine graph.
CK-12 Foundation
Ck 12: Trigonometry: Law of Cosines
[Free Registration/Login may be required to access all resource tools.] Use Law of Cosines and Law of Sines in different triangle situations.
CK-12 Foundation
Ck 12: Trigonometry: Sine, Cosine, and Tangent Functions
[Free Registration/Login may be required to access all resource tools.] This lesson covers the three trigonometric ratios: sine, cosine, and tangent.
CK-12 Foundation
Ck 12: Trigonometry: Horizontal Translations or Phase Shifts
[Free Registration/Login may be required to access all resource tools.] Defining horizontal translations of sine and cosine functions.
CK-12 Foundation
Ck 12: Trigonometry: Amplitude
[Free Registration/Login may be required to access all resource tools.] Find the amplitude of a sine or cosine curve.
CK-12 Foundation
Ck 12: Trigonometry: Period and Frequency
[Free Registration/Login may be required to access all resource tools.] Relating period and frequency for a sine or cosine graph with examples, practice problems, and vocabulary.
CK-12 Foundation
Ck 12: Trigonometry: Composition of Trig Functions and Their Inverses
[Free Registration/Login may be required to access all resource tools.] How to Compose a trigonometric function.
CK-12 Foundation
Ck 12: Trigonometry: Applications of Inverse Trigonometric Functions
[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.
CK-12 Foundation
Ck 12: Domain, Range, and Signs of Trigonometric Functions
[Free Registration/Login may be required to access all resource tools.] Define the domain, range, and sign of trigonometric functions.
CK-12 Foundation
Ck 12: Trigonometry: Tangent and Cotangent Graphs
[Free Registration/Login may be required to access all resource tools.] Define the tangent and cotangent graphs using the unit circle.
CK-12 Foundation
Ck 12: Trigonometry: Trigonometric Functions and Angles of Rotation
[Free Registration/Login may be required to access all resource tools.] Describing trig functions as relationships on the unit circle.
Other
University of Cambridge: Spherical Trigonometry
Very good site that acts as a tutorial/review site on Spherical Trigonometry. Many diagrams and formulas are included.
CK-12 Foundation
Ck 12: Geometry: Trigonometry Word Problems
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to solve word problems using trigonometric ratios.
Khan Academy
Khan Academy: Amplitude of Sinusoidal Functions From Equation
Given the formula of a sinusoidal function, determine its amplitude.