# Trigonometric Identities Teacher Resources

Find Trigonometric Identities lesson plans and worksheets

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#### Trigonometric Ratios

In this trigonometric ratios worksheet, students find the sine, cosine and tangent of given triangles. Students determine the angle measurement or length of one side of a triangle. This two-page worksheet contains 43 problems. Each page...

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#### Trigonometric Ratios

For this trigonometric ratios worksheet, 11th graders solve and complete 15 different types of problems. First, they use the unit circle to sketch the line through an angle with a given measure. Then, students find the coordinates of a...

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#### Trigonometric Ratios and the Pythagorean Theorem

Take an alternative route with trigonometry and let learners connect a tweaked version of the pythagorean theorem to the original in terms of triangle sides. The assignment leads participants towards deriving the Pythagorean identity...

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#### Trigonometric Integrals

Present examples of trigonometric integrals with a video that shows an example of determining a trigonometric integral. The AP Calculus example shows that many of the trigonometric integrals require manipulation and using trigonometric...

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#### SOHCAHTOA - Finding Missing Sides Part 1

Explore the meaning and application of the three trigonometric ratios. A thorough video reviews the trig ratios and then shows how to apply them in triangle problems. The instructor demonstrates several examples finding both side and...

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#### Introduction to SOHCAHTOA

You might not be able to pronounce it, but everyone remembers SOHCAHTOA. Young mathematicians learn a way to remember the three major trigonometric ratios. They see how the first letters of certain words lead to the mnemonic.

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#### The Cosine Ratio

Help your classes understand the relationship between trigonometric ratios and similarity. A set of questions ask scholars to consider the ratio of sides of similar figures. They conclude that all similar triangles must have the same...

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#### Trigonometric Ratios

In this trigonometric ratios worksheet, students determine the value of trigonometric ratios. They find the area of triangles, determine the length of one side, and compute the degrees in an angle. This five-page worksheet contains 55...

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#### Circular Trigonometric Functions

In this Pre-calculus/Trigonometry worksheet, students prove trigonometric identities and find all values that satisfy the equations of circular trigonometric functions. The four page worksheet contains twenty-four problems. Answers are...

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#### Trigonometric Function

In this trigonometric functions worksheet, 11th graders solve and complete 6 various types of problems. First, they express each of the expressions in trigonometric form. Then, students use DeMoivre's Theorem to express each of the...

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#### What are the Trigonometric Reciprocal Identities?

By using the trigonometric ratios in a right triangle, the instructor derives definitions for cosecant, secant, and cotangent.

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#### Limits of Trig Functions: Everything You Need to Know!

Discover how to find limits of trigonometric functions. Viewers learn a strategy to calculate limits of trigonometric functions. They see how an expression can be rewritten to one whose limits are already known.

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#### Decoding Basic Trigonometric Ratios

Demonstrate the calculator keystrokes necessary for finding a measure of an angle using trigonometry. A straight forward lesson explains how to calculate an angle measure given a sine, cosine, or tangent ratio. The narrator discusses...

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#### Trig Cheat Sheet

Your pre-calculus learners will make use of this wonderful cheat sheet that summarizes all things trigonometric. Definitions based on both the unit circle and the right triangle are included, as well as many convenient trigonometric...

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#### Fun Trig Problem

If solving trigonometric equations is your idea of fun, then this video is correctly titled. Here Sal uses trigonometric identities, the quadratic formula, and inverse trigonometric functions to solve a trigonometric equation sent in by...

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#### Basic Trigonometry ll

Sal continues with examples of finding the sine, cosine, and tangent of an angle in a right triangle using SOH-CAH-TOA. In his examples, he reviews the use of the Pythagorean Theorem and rationalizing the denominator of a fraction. He...

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#### Fun Trig Problem

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#### Verifying Trigonometric Identities

This quality, short, worksheet provides practice verifying trigonometric identities and completing the included blank unit circle. Learners will also find the exact value of various trigonometric functions given other trigonometric...

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#### Similar Parts Investigation

How tall is that flagpole? Your pupils might want to stand on each other's shoulders to answer this, but this activity is all about using the math knowledge they already possess. Using right triangle trigonometric ratios (SOH CAH TOA)...

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#### How Tall is It?

Your collaborative geometry learners use trigonometric ratios and a clinometer that they assemble themselves to indirectly measure the height of a flag pole and other objects. Then they create a presentation to explain the process they...

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#### Surveying the Ancient World

Astrolabes have been used by explorers and astronomers throughout the ages. But how exactly do they work and what can a young mathematician do with one today? Students will build a simple version of this tool and then using the altitude,...

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#### Inverse Trig Functions: Arccos

In the third video on inverse trigonometric functions, Sal follows a format similar to the last two. He finds the value for the arcos (-1/2) and shows the restricted domain of the arccos function. He also finds the value for cos(arccos...

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#### Inverse Trig Functions: Arcsin

Sal defines the concept of inverse trigonometric functions and completes two examples of arcsin. Specifically, he finds the value of the arcsin (sqroot2/2) and arcsin (sqroot3/2). He also talks about the restricted domain of arcsin...

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#### Inverse Trig Functions: Arctan

Continuing with inverse trigonometric functions, Sal finds the value for tan^-1-1. He also shows the restricted domain of the arctan function.