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An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
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Trigonometry
In this right triangles worksheet, students use trigonometric ratios to determine the length of a side of a triangle or a missing angle measurement. This two-page worksheet contains 20 problems.
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Trigonometry Puzzle
In this trigonometry worksheet, students solve for the degree or the ratio in 48 questions using the 6 basic trigonometric functions.
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Finding the Area of an Equilateral Triangle
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
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Trigonometry and the Calculator
In this geometry activity, 10th graders use a graphing calculator to evaluate trigonometric functions and their inverses. The four page activity contains explanation, examples, and twenty questions. Answers are not included.
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Law of Sines
For this Law of Sines worksheet, students use trigonometric ratios to determine angle measurement and/or the length of the side of a triangle. This one-page worksheet contains ten trigonometric ratio problems.
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The Sine and Cosine Ratios
For this geometry worksheet, 10th graders write the ratio that represents the sine and cosine of the indicated angle. The one page worksheet contains two multiple choice questions. Answers are included.
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Trigonometric Identities
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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Law of Sines
In this Law of sines worksheet, 10th graders solve 10 different sets of problems related to the Law of Sine and Ambiguous case. First, they determine the ratio of the sides of the triangle with the given measurements. Then, students...
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Refraction B2—When is Light Reflected Internally?
Physics is phun in this lesson. Young physicists use a lightbox to test how and where light is refracted and reflected as it travels through transparent materials. Angles of incidence and refraction, sine of both angles, and the ratio...
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Range of Trigonometric Functions
In this trigonometry worksheet, students find the range of each trigonometric function using the derivative. There are 3 questions with an answer key.
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Rational Equations
In this rational equations worksheet, 9th graders solve 10 different problems that include various forms of rational equations. First, they determine the least common denominator in each equation. Then, students compare numerators and...
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Numerical Practice with Big Circles
In this numerical practice worksheet, students determine the measurement of given angles. Using trigonometry ratios, they find the measurement of ten angles on this one-page worksheet.
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Arithmetic and Geometric Sequences and Series
In this arithmetic and geometric sequences and series activity, 7th graders solve and complete 10 different sets of numbers. First, they determine the common difference in each set of numbers. Then, students subtract a pair of terms and...
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Special Right Triangles
For this special right triangles worksheet, 10th graders solve 10 different problems that include solving equations that are special right triangles. First, they determine the exact value of each problem. Then, students use the...
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Proportions
In this proportion worksheet, learners identify equivalent fractions and solve proportions. This one-page worksheet contains ten problems.
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Using Trinonometry to Find Angle Measures
In this trigonometric ratios worksheet, students find the missing angle of 20 triangles by using sine, cosine and tangent ratios. Students compute the angle measurement of given ratios for six problems.
Illustrative Mathematics
Finding Trig Values
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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Right Triangle Stuff
In this right triangle worksheet, students use trigonometric ratios to find the hypotenuse, right angle, opposite leg and angles. This one-page worksheet contains eight problems. Answers are provided at the bottom of the page.
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Number of Solutions for a Triangle
In this solutions for a triangle worksheet, students use trigonometric ratios to determine the number of triangles that can be constructed with the given sides and angles. This one-page worksheet contains 22 problems.
Inside Mathematics
Hopewell Geometry
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
Education Development Center
Similar Triangles
Model geometric concepts through a hands-on approach. Learners apply similar triangle relationships to solve for an unknown side length. Before they find the solution, they describe the transformation to help identify corresponding sides.
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Functions of Triangles
For this math worksheet, students find the functions for each of the triangles. Then they determine the reference angles from standard position.
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Hunter Fred's Quest for Dinner
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...