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Interactive
CK-12 Foundation

Sine, Cosine, and Tangent Functions: Lighthouse

For Students 9th - 12th Standards
How far is that boat from the lighthouse? Scholars create diagrams to represent a scenario given the angle of depreciation from a lighthouse to a boat. Learners apply the basic trigonometric functions to find various distances stemming...
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Interactive
CK-12 Foundation

Fundamental Trigonometric Identities: Tangent Identity

For Students 10th - 12th
An identity that thieves can't steal  the tangent identity. Scholars manipulate ratios to investigate the tangent ratio and connect it to the sine and cosine ratios. An interactive that uses color coding helps with this task.
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Interactive
Curated OER

Trigonometry Formula Worksheet

For Students 10th - 12th
In this trigonometry worksheet, learners solve right triangle problems.  They find the sine, cosine and tangent of given triangles.  This on-line, interactive worksheet contains 6 problems.  Answers are provided.
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Interactive
CK-12 Foundation

Tangent Graphs: Slope and Angle

For Students 10th - 12th Standards
Learning about tangents doesn't have to be a slippery slope. Pupils drag a point around a unit circle to see how angle affects the slope of a line. They individually answer a set of challenge questions to come to the conclusion that...
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Interactive
CK-12 Foundation

Derivatives of Trigonometric Functions: Derivative of sin(x)

For Students 11th - Higher Ed
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...
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Interactive
CK-12 Foundation

Basic Trigonometric Functions: Ladder Length

For Students 9th - 12th Standards
Climb the ladder to trigonometry. The interactive introduces trigonometric ratios and finding lengths of sides of right triangles created by a ladder and a building. Learners use the interactive to create triangles by moving the top of...
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Interactive
CK-12 Foundation

Trigonometric Functions and Angles of Rotation: The Triangle in the Circle

For Students 10th - 12th Standards
Go around the unit circle and create triangles. Pupils move a point around the unit circles to visualize the triangle associated with the angle in standard position. The three main trigonometric functions are defined in terms of the legs...
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Interactive
PHET

Trig Tour

For Students 9th - 12th Standards
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...
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Interactive
Curated OER

Trigonometry Worksheets

For Students 9th - 12th
In this online math instructional activity, students utilize elements of trigonometry in order to describe aspects of a right triangle. This excellent resource allows the students to check their answers, and to get "hints" should they...
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Interactive
Curated OER

Trigonometry Math - Using a Calculator

For Students 9th - 12th
In this online math worksheet, students practice using their calculator to perform trigonomic functions. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A terrific...
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Interactive
CK-12 Foundation

Half Angle Formulas: Half-Angle Formulas

For Students 10th - 12th
Slide the resource into your lesson plans. Young mathematicians use a slider to move a movie screen to the right position for optimal viewing. Along the way, they learn to apply the half angle formulas.
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Interactive
Curated OER

Differentiation of Trigonometry Functions

For Students 9th - 11th
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.
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Interactive
CK-12 Foundation

Reference Angles and Angles in the Unit Circle: Exploring Reference Angles

For Students 10th - 12th Standards
A steal of a deal — get four angles for the value of one. An interactive resource allows individuals to visualize all four angles that have the same reference angle. Pupils answer questions by using the interactive to create the...
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Interactive
CK-12 Foundation

Trigonometric Functions of Angles Greater than 360 Degrees: Snowboarding

For Students 10th - 12th Standards
Spin through the trigonometric functions. Scholars determine the angle of rotation a snowboarding snowman makes at various distances in his jump. The class members then calculate the values of trigonometric functions for those angles.
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Interactive
CK-12 Foundation

Unit Circle: Medieval Castle Defense

For Students 10th - 12th Standards
Who needs a plan — let trigonometry protect you! Pupils determine the angle of an approaching enemy to a village wall. The scholars determine the exact value of trigonometric functions for the angle. Class members use trigonometry to...
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Interactive
Curated OER

Trigonometry Applications

For Students 10th
In this geometry worksheet, 10th graders solve application word problems involving the use or right triangle trigonometry, including angle of elevation or depression. The one page interactive worksheet contains five questions. Hints,...
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Interactive
Curated OER

The Pythagorean Theorem

For Students 10th
In this geometry worksheet, 10th graders answer questions about right triangles by identifying the 3 sides of the triangle. They analyze the different shapes of polygons and relate them to right triangles to find the sides using the...

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