Texas Instruments
Texas Instruments: Learning Pre Calculus With the Ti 89
See examples of how to use the TI-89 in Pre-Calculus. Example topics include equations with radicals, trigonometric identities, composition of functions, and inverse functions.
Texas Instruments
Texas Instruments: Approximation of Pi Using an Area Model
Students will approximate pi by setting up trigonometric ratios and calculating the areas of regular polygons inscribed within and circumscribed about a circle.
Analyze Math
Analyze Math: Special Triangles Used in Trigonometry
The trigonometry tutorial investigates special triangles. The activity includes isosceles right triangles and 30-60-90 triangles. The examples show how to obtain the six trigonometric ratios of the special angles using special triangles.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Razones Trigonometricas De Angulos Obtuse
In Spanish. Learn how to calculate trigonometric ratios of angles greater than 90 degrees.
Illustrative Mathematics
Illustrative Mathematics: G Gpe, F Tf Coordinates of Points on a Circle
For this task, students are shown a unit circle in a plane and an angle measured from the x-axis. They must determine the coordinates of the line segment for the angle and answer a question about the sum of the coordinates. The purpose...
CK-12 Foundation
Ck 12: Algebra Ii: 4.4 Radians
This section introduces radians an alternative to degrees as a way to measure the rotation around a circle. It also begins to draw connections between radians and trigonometric identities.
Illustrative Mathematics
Illustrative Mathematics: F Tf Foxes and Rabbits 2
Students are presented with a table that shows the populations of foxes and rabbits in a national park over a 12-month period. This is the second Foxes and Rabbits task. In this problem, students must find trigonometric functions that...
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.
Math2
Math2: Trigonometric Graphs
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.
Windstream
Ojk's Precalculus Study Page: More Difficult Trig Equations
An introduction to solving trigonometric equations by using the reciprocal, negative, Pythagorean, and cofunction identities. Includes several examples and exercises with solutions at the bottom of the page.
Other
Mecca: Review for Trigonometric Functions
A page of review problems on trigonometric functions. Answers are supplied.
Wolfram Research
Wolfram Math World: Half Angle Formulas
This page, from Eric Weisstein's comprehensive Math World site, offers information on half-angle formulas. The site includes traditional trigonometric fuctions half-angle formulas as well as hyperbolic half-angle formulas. Includes links...
University College London
University College London: Hyperbolic and Trigonometric Functions
This site has information relating the hyperbolic and trigonometric functions.
Illustrative Mathematics
Illustrative Mathematics: G Srt, G Mg Coins in a Circular Pattern
In this task, students investigate how many coins will fit around a central coin when they are all of the same denomination, and if there is room left over. The teacher is given a chart of four coin denominations and their diameters, but...
Illustrative Mathematics
Illustrative Mathematics: G Srt, G Mg Seven Circles Iii
For this task, learners are shown circle formations where an inner circle is surrounded by a set of circles and all circles are touching. In the first situation, all circles have the same diameter. In the second, the inner circle is...
Khan Academy
Khan Academy: Solving for a Side in Right Triangles With Trigonometry
Learn how to use trig functions to find an unknown side length in a right triangle.
Clark University
Clark University: Dave's Short Trig Course: Complex Numbers
This site from a professor at Clark University teaches you about complex numbers.
Windstream
Ojk's Precalculus Study Page: Applications to Trig Navigation and Surveying
This tutorial applies all of the tools from triangle trigonometry to two specific cases: navigation and surveying. There are examples of each, as well as several exercises with solutions.
Math Words
Math Words: Cofunction Identities
This MathWords.com site, which is a glossary of math terms, shows the relationship in radians and degrees between sin and cos, tan and cot, and sec and csc.
CK-12 Foundation
Ck 12: Trigonometry: Sum to Product Formulas for Sine and Cosine
[Free Registration/Login may be required to access all resource tools.] Examples of transforming a sum of trigonometric functions to a product of trigonometric functions.
CK-12 Foundation
Ck 12: Trigonometry: Inverses by Mapping
[Free Registration/Login may be required to access all resource tools.] Find the inverse of a trig function by mapping.
CK-12 Foundation
Ck 12: Trigonometry: Trigonometry in Terms of Algebra
[Free Registration/Login may be required to access all resource tools.] Define trigonometric relationships with algebraic ratios.
CK-12 Foundation
Ck 12: Exact Values for Inverse Sine, Cosine, and Tangent
[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.
Hofstra University
Hofstra University: Modeling the Sine Function
Extensive information on the sine function and links to the other trigonometric functions. The site includes definitions of properties of the sine function and various examples involving them. Also includes a number of real world...
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