Trigonometric Identities Teacher Resources

Find Trigonometric Identities lesson plans and worksheets
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Section 8-6: Solving Problems Using Trigonometric Ratios

For Students 9th - 12th
In this trigonometric ratios worksheet, students solve 20 short answer and multiple choice problems.  Students use trigonometric ratios, the angle of depression, and angle of elevation to find missing side lengths of angles of a triangle.
8:35
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Trig Identities Part 3 (Part 5 if you watch the proofs)

For Students 10th - 12th
Sal takes the mystery out of the trigonometric identities by showing how easily they can be derived. He continues with a problem he started in the video �Trig identities part three (part five if you watch the proofs) and proves the trig...
1 In 1 Collection
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Right Triangle Trigonometry: Evaluating Trigonometric Ratios

For Students 10th - 12th
In this right triangle trigonometry worksheet, students use trigonometric ratios to determine the length of a missing side of a triangle or to find a specified angle measurement. This four-page worksheet contains 32 problems. Answers are...
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Evaluating Trig equations and Solving Trig Identities

For Students 9th - Higher Ed
In this trigonometry worksheet, students match trig expressions to their exact value, evaluate trig equations, graph trig equations, and prove trig identities. There are 61 questions.
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Trigonometric Function

For Students 10th
For this trigonometric function worksheet, 10th graders solve and complete 26 various types of problems. First, they use a calculator to find each value and each angle. Then, students state which trig function they used to find each...
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Trig Functions of General Angles

For Students 11th
In this trigonometric functions worksheet, 11th graders solve and complete 19 various types of problems. First, they find the exact value of the six trig functions of the terminal side in standard position contains the given point. Then,...
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Trig Functions

For Students 11th - 12th
In this trig functions worksheet, students solve and complete 24 different types of problems. First, they find the limits for each trig function given. Then, students find xso that the given infinities series converges. They also find...
1 In 1 Collection
EngageNY

Basic Trigonometric Identities from Graphs

For Students 10th - 12th Standards
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their understanding...
9:04
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The unit circle definition of trigonometric function

For Students 10th - 12th
In this video, Sal shows how the sine and cosine of an angle are defined on the unit circle. He inscribes a 30-60-90 triangle in the unit circle and explains how one can use SOH-CAH-TOA to find the coordinates on the circle.
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Proof of Identity

For Teachers 9th - 12th Standards
High schoolers explore trigonometric identities.   In this Algebra II lesson, students use graphing to verify the reciprocal identities.  Using Cabri Jr, high schoolers investigate the Pythagorean trigonometric identities and the...
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Does Your Field Measure Up

For Teachers 9th - 11th
Young scholars measure angles using a plane table kit. In this geometry lesson, students use trigonometric identities to find the values of the length of a football field.
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Basic Trigonometric Ratios

For Teachers 11th - 12th
For this trigonometric ratio worksheet, students determine the length of a side of a right triangle, or the measurement of angles using trigonometric ratios. This one-page worksheet contains 24 problems. Answers are provided at the...
6:09
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Trigonometric Ratios: Sine

For Students 10th - 12th Standards
What happens when you don't have enough information to use the Pythagorean Theorem? Time for some trig! The second lesson in a series of four introduces the definition of sine, teaches how to find the sine ratio of a right triangle, and...
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Review Quiz before Mini-Exam

For Students 9th - 12th
In this pre-calculus review worksheet, high schoolers solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded...
5:38
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Chain Rule for Derivatives, with Trig Functions

For Students 11th - Higher Ed
Break the chain in finding derivatives of trigonometric functions. The short video provides a demonstration of finding the derivative of a trigonometric function where the argument is a function. The 12th video in a series of 31 focuses...
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Differentiation Quiz

For Teachers 11th - 12th
In this differentiation quiz worksheet, students solve 10 short answer problems. Students differentiate rational equations, trig functions, exponential models, higher order polynomials, etc.
1 In 1 Collection 9:17
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Intro to the Trigonometric Ratios

For Students 11th - Higher Ed
This video introduces the basics of trigonometry. It starts by defining a right triangle and showing two different examples of finding the ratios of sine, cosine, and tangent using the SOH-CAH-TOA mnemonic. This resource could be used as...
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"I Saw the Sine"

For Teachers 9th - 12th Standards
Discover trigonometric ratios that complement each other. Using two videos, the lesson introduces the trigonometric ratios. The class discovers the relationship between the sine and cosine of complementary angles.
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Worksheet #2: Trigonometric Ratios

For Students 9th - 12th
In this trigonometric ratios worksheet, students use trigonometric ratios to complete indirect measurement word problems.  This three-page worksheet contains 3 problems.
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Connect The Dots Trig. Identities

For Students 10th - 11th
In this trig. identities worksheet, students connect the dots to equivalent values.  Then students find the isosceles right triangle formed.  Solutions are provided.
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Finding Trigonometric Ratios

For Students 11th
In this finding trigonometric ratios worksheet, 11th graders solve and complete 22 various types of problems. First, they find the value of each trigonometric ratio to the nearest ten-thousandth. Then, students use a calculator to find...
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Trigonometric Identities

For Students 11th - Higher Ed
In this trigonometry worksheet, students derive the 6 different trigonometric identities. They use the identities to solve problems by multiplication of trig ratios. There are 102 trig questions to be solved.
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Trigonometric Ratios

For Students 10th
For this trigonometric ratios worksheet, 10th graders solve 9 different problems that include determining the trigonometric ratios of each triangle. First, they determine the sides and angles of a right triangle that is shown in each...
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Trig Identities

For Students 12th - Higher Ed
In this trig identities worksheet, students solve and complete 25 various types of problems. First, they assume that sine and cosine are given as stated. Then, students express the stated quantities in terms of a and b for each problem...