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Worksheet
Curated OER

6.5 Skill Builder: Trigonometric Identities

For Students 9th - 12th
In this trigonometric identities worksheet, learners solve 16 multi-part short answer problems. Students use the quotient identity and Pythagorean identity to simplify trigonometric expressions. Learners factor trigonometric expressions.
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Worksheet
Curated OER

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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Lesson Plan
Curated OER

Proof of Identity

For Teachers 9th - 12th Standards
Students explore trigonometric identities.   In this Algebra II lesson, students use graphing to verify the reciprocal identities.  Using Cabri Jr, students investigate the Pythagorean trigonometric identities and the geometric c proofs...
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Interactive
CK-12 Foundation

Reciprocal Identities

For Students 10th - 12th Standards
Get a better understanding of the trigonometric functions by taking a look at the flip side. Pupils create angles within a unit circle and compare the values of the standard trigonometric functions to their reciprocal functions. The...
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Interactive
CK-12 Foundation

Finding Exact Trigonometric Values Using Double Angle Identities: Trig Values Using Double and Half Angle Formulas

For Students 10th - 12th
The more you know, the more you can learn. Scholars apply the double angle and half angle formulas to determine trig values based on known values. They use an interactive that provides sine and cosine values to aid calculations.
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Worksheet
Curated OER

Review of Trig Ratios

For Students 11th - Higher Ed
In this trigonometric ratios worksheet, students solve and complete 10 various types of problems. First, they write the degrees listed in radian measure. Then, students find the exact ratios for each equation. They also find the value of...
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Worksheet
Curated OER

Exact Trig Values of Special Angles

For Students 10th - 12th
In this special angles worksheet, students find the value of given trigonometric functions.  This four-page worksheet contains 30 problems.  Answers are provided on the last two pages.
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Lesson Plan
Virginia Department of Education

Special Right Triangles and Right Triangle Trigonometry

For Teachers 9th - 11th Standards
Right triangles are so special! Use special right triangles to discover the trigonometric ratios. Pairs construct special right triangles and find the values of the ratios of the sides. In the process, they discover the ratios stay the...
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Lesson Plan
EngageNY

Special Triangles and the Unit Circle

For Teachers 11th - 12th Standards
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value of...
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Lesson Plan
Willow Tree

The Pythagorean Theorem

For Students 8th - 11th Standards
There isn't a more popular geometry formula than the Pythagorean Theorem! Learners understand the special side relationships in a right triangle. They use the Pythagorean Theorem to find missing sides and to solve problems. They begin...
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Worksheet
Curated OER

Trig Ratios of General Angles

For Students 10th - 12th
In this trig ratios instructional activity, students determine the angle measurement of trigonometric ratios. They find the value of trigonometric function. This approximately four-page instructional activity contains 24 problems....
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Lesson Plan
Curated OER

Trigonometric Expressions and Identities

For Teachers Higher Ed
For this college level Pre-calculus worksheet, students use the trigonometric identities to factor and simplify trigonometric expressions.  Students use algebra to prove various trigonometric identities.   The three page worksheet...
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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 problem. 
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Lesson Plan
Curated OER

Special Right Triangles

For Teachers 10th - 12th
In this special right triangle worksheet, students use the trigonometric functions to determine angle measurement or the length of one side of a right triangle. This one-page worksheet contains 18 problems. Answers are provided at the...
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Instructional Video25:49
2
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...
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Worksheet
Curated OER

Unit Circle & Trig Functions

For Students 10th - 12th
In this trig functions worksheet, students determine the exact value of given trigonometric functions. They label degrees, radians and coordinates of given points on a circle. This two-page worksheet contains approximately 20 multi-step...
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Assessment
Illustrative Mathematics

Foxes and Rabbits 3

For Students 9th - 12th Standards
Model periodic populations. Here, in the context of foxes and rabbits, pupils look at graphs of the populations of these animals in a national park over a span of 24 months. Groups analyze the graphs and determine trigonometric functions...
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Worksheet
1
1
Curated OER

Trigonometry and the Calculator

For Students 10th
In this geometry worksheet, 10th graders use a graphing calculator to evaluate trigonometric functions and their inverses. The four page worksheet contains explanation, examples, and twenty questions. Answers are not included.
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Lesson Plan
Curated OER

Trigonometric Ratios

For Teachers 10th - 12th
Students measure and analyze angles. In this trigonometry instructional activity, students measure angles and distances use non-traditional techniques. They identify the different ratios of sine, cosine and tangent.
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Instructional Video11:52
2
2
Flipped Math

Reference Triangles

For Students 9th - 12th Standards
It is all about where the side is located. Pupils use their knowledge of angles in standard position to find reference angles. They use the Pythagorean Theorem to find lengths along a terminal side of an angle to determine the exact...
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Worksheet
Curated OER

Further Trigonometry

For Students 11th - 12th
For this trigonometry worksheet, students solve and complete 5 various types of problems. First, they find the exact ratios for each trigonometric function. Then, students use the expansion to find the exact value of a given trig...
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Worksheet
Curated OER

Ten Trigonometric Review Problems - Calculator Required

For Students 11th - Higher Ed
In this trigonometry review worksheet, students convert between radians and degrees, sketch angles, evaluate trig. functions, solve for missing angles, and find the functions that satisfy the given conditions.
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Worksheet
Curated OER

Review 13.1-13.2: Unit Circle

For Students 10th - 12th
In this unit circle worksheet, learners find the sine, cosine, tangent, cotangent, and co-secant of given values. They determine the exact value of trigonometric ratios. Students convert from degrees to radians. This two-page worksheet...
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Worksheet
Curated OER

Angle Sum and Difference

For Students 11th
In this angle sum and difference activity, 11th graders solve 10 different problems related to determining the angle sum and difference of numbers. First, they determine the exact value of sine and cosine degrees. Then, students utilize...