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Teach Engineering

Solar Angles and Tracking Systems

For Teachers 9th - 12th
The sun will continue to rise in the east and set in the west, no matter what. The first lesson in a series of eight introduces the class to solar angles. It makes connections between a person's latitude and the angle of position of the...
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Curated OER

Math Handbook: Trigonometry

For Students 9th - 12th Standards
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and...
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Other

Mathway: Trigonometry Formulas

For Students 9th - 10th Standards
Resource provides trigonometry formulas for unit circle, reciprocal identities, ratio identities, Pythagorean identities, sum and difference formulas, and double-angle formulas.
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Cuemath

Cuemath: Trigonometry

For Students 9th - 10th Standards
A comprehensive guide for learning all about the basics of trigonometry, the various identities-formulas of trigonometry, solved examples, and practice questions.
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Wolfram Research

Wolfram Math World: Cut the Knot! Angles

For Students 9th - 10th Standards
Very good site with links to reviews of various angles.
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Purple Math

Purplemath: Special Angle Values: 30 60 90 and 45 45 90 Triangles

For Students 9th - 10th
Explains a simple pictorial way to remember basic reference angle values. Provides other memory aids for the values of trigonometric ratios for these "special" angle values, based on 30-60-90 triangles and 45-45-90 triangles.
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Other

Dans Math: Lessons: Trigonometry

For Students 9th - 10th
College professor Dan Bach reviews basic trig concepts, including trig functions, right triangles, circles, radians, and polar coordinates. Site includes animated graphs and detailed examples.
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Math Open Reference

Math Open Reference: Introduction to Trigonometry

For Students 9th - 10th
An introductory reference guide to trigonometry. It provides definitions and examples that enhance further explanation. Includes links to related topics.
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Purple Math

Purplemath: Conventions

For Students 9th - 10th Standards
A "convention" is "just the way a thing is done!". This reference material lists some common conventions (notational assumptions) for geometry and trigonometry.
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Other

Sierra College: Trigonometric Identities

For Students 9th - 10th Standards
Provides trigonometric identities, which include fundamental identities, even-odd identities, addition formulas, double-angle formulas, subtraction formulas, product-sum formulas, and identities for sin squared and cos squared.
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Purple Math

Purplemath: Inverses of Trigonometric Ratios

For Students 9th - 10th Standards
You know that you can take side lengths and find trig ratios, and you know you can find trig ratios (in your calculator) for angles. What is missing is a way to go from the ratios back to the original angles. And that is what "inverse...
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Purple Math

Purplemath: Converting Between Radians and Degrees

For Students 9th - 10th Standards
Describes degrees and radians with respect to angles, the reason for the invention and use of radians, and how to convert between radians and degrees.
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Purple Math

Purplemath: Greek Letters and Their Names

For Students 9th - 10th Standards
When you are working with geometry and trigonometry, you will see a lot of Greek letters. It will be helpful to know how the names of these letters are spelled and pronounced.
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Wolfram Research

Wolfram Math World: Oblique Triangle

For Students 9th - 10th
This page gives a single-sentence definition of an oblique triangle (one with no right angles.)
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Khan Academy

Khan Academy: Angular Measure 2

For Students 9th - 10th
Looking for an easier way to do angular measurements? This page introduces you to a trick by using skinny triangles with small angles. The skinny triangles lets the astronomer assume right triangles and then they can use trigonometry to...
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Purple Math

Purplemath: The Pythagorean Theorem

For Students 9th - 10th Standards
Defines the Pythagorean Theorem, and demonstrates how to use this Theorem in connection with right-angled triangles.
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Purple Math

Purplemath: Sectors, Areas, and Arcs

For Students 6th - 8th Standards
Explains formulas for areas of sectors of circles and lengths of arcs. Demonstrates how to use the formulas in each of degrees and radians.

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