Worksheet
Curated OER

Inverse Trigonometry

For Students 11th - Higher Ed
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.
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.
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...
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...
Instructional Video25:49
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2
Flipped Math

Unit Circle and Radians

For Students 9th - 12th Standards
Measure angles is easy as pi. Pupils review special right triangles to find exact values for trigonometric functions. Scholars learn about radians and how they connect to measurements in degrees. They find exact and approximate values of...
Worksheet
Curated OER

Mnemonics to Remember Your Trig Ratios

For Students 10th - 12th
In this calculus learning exercise, students review mnemonic rhymes to help them remember the different ratios of sine, cosine and tangent. They are funny and memorable for any grade level.
Lesson Plan
Curated OER

Trigonometric Functions of Acute Right Triangles

For Teachers 9th - 11th
Students derive the six trigonometric functions. In this trigonometry lesson, students show their understanding of trigonometric functions as they relate the right triangles. They find the missing angles and side use trig ratios of sine,...
Assessment
EngageNY

Algebra II Module 2: Mid-Module Assessment

For Students 10th - 12th Standards
Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.
Worksheet
Curated OER

The Law of Sines

For Students 9th - 12th
In this law of sines worksheet, students use the law of sines to find the missing measurement in a triangle. They determine the value of angles and the lengths of triangles. Students compute the area of triangles. This four-page...
Lesson Plan
Curated OER

Trig Review

For Teachers 12th
Twelfth graders review the 6 identities of trigonometry. In this trig lesson, 12th graders review the importance of the right triangle as it relates to sine, cosine and tangent. They review the basic trig identities and how it relates to...
Lesson Plan
Curated OER

Logarithmic Differentiation

For Teachers 12th - Higher Ed
Students analyze the steps required to take the derivative of an equation. In this calculus lesson, students take the derivative of logs using the same method for regular equations. They review derivatives of sine, cosine and tangent...
Worksheet
Curated OER

Defining the Circular Functions

For Students 10th - 12th
In this calculus worksheet, students solve values involving trigs and the unit circle. They identify graphs of sine, cosine and tangents. They solve for angles using the unit circle and the calculator.
Lesson Plan
Curated OER

Geometry Exploration Basic Trig Functions

For Teachers 10th
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the...
Lesson Plan
Curated OER

Trigonometric Identities

For Teachers 10th - 11th
Students calculate the six trigonometric identities. In this algebra instructional activity, students verify other identities using the basic trigonometric identities of sine, cosine and tangent. They complete a worksheet with hints and...
Handout
2
2
Coastal Carolina University

Graphs of the Six Trigonometric Functions

For Teachers 10th - 12th
Your learners will appreciate having this color-coded set of the six trigonometric functions all on one page. Included are the graphs for sine, cosine, tangent, cosecant, secant, and cotangent. Notice that part of each graph is...
Lesson Plan
Curated OER

Trigonometric Ratios

For Teachers 10th - 12th
Students measure and analyze angles. In this trigonometry lesson, students measure angles and distances use non-traditional techniques. They identify the different ratios of sine, cosine and tangent.
Worksheet
Curated OER

The Hyperbolic Sine and Cosine

For Students 11th - 12th
In this sine and cosine worksheet, students find derivatives and integrals of 6 functions.  Students find derivatives, indefinite integrals and the area between two curves.
Lesson Plan
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Curated OER

The Unit Circle

For Teachers 9th - 11th Standards
Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
Lesson Plan
Curated OER

Amazing Consistent Ratios

For Teachers 7th - 9th
Students derive the six trigonometric identities. In this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.
Lesson Plan
Curated OER

Exploring Trigonometric Ratios

For Teachers 10th - 12th
Students calculate the different ratios using a right triangle. In this trigonometry lesson, students identify the sine, cosine and tangent of each side. They find the missing angles using the different ratios.
Assessment
Illustrative Mathematics

Finding Trig Values

For Students 9th - 12th Standards
Let's keep trigonometry simple. When given a cosine ratio, learners must use the clues about the quadrant to determine the sine and tangent ratios. The answer key has a complete worked-out solution to help guide pupils through the...
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...
Lesson Plan
Curated OER

Unit Circle Triangle

For Teachers 11th - 12th
Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
Lesson Plan
Curated OER

Trig is SOH Easy!

For Teachers 7th - 10th
Students derive the six trigonometric identities. In this trigonometry lesson, students review the parts of a right triangle and use the Pythagorean theorem as a guide to find the trig identities. They find sine, cosine and tangent ratios.