In these worksheets, students will learn to use trigonometric ratios to find the missing value of a triangle.

We use trigonometric ratios, especially for the measurements of a right triangle. In a right triangle, two sides that make the right angle, we call them legs. The side that is opposite to the right angle is called the hypotenuse. Only three trigonometric ratios are Sine, Cosine, Tangent. To solve the triangle, we have the following formulas; Sine = length of the leg opposite to the angle/length of the hypotenuse (Abbreviated Sin). Cosine = length of the leg adjacent to angle/length of the hypotenuse (Abbreviation Cos). Tangent = length of the leg opposite to the angle/length of the leg to the angle (tan). We have a triangle A.B.C. C.B. is the right angle, B.A. is the hypotenuse, and C.A. is the base. Find angle A. Opposite angle A, the length of a leg is (a). Adjacent to angle A, the length of the leg is (b), and the length of the hypotenuse is (c). The ratio opposite over hypotenuse is the Sine of the angle like; Sin angle A = a/c. The ratio adjacent over hypotenuse, the cosine is; Cos angle A = b/c. The ratio opposite over adjacent, the tangent is; Tan angle = a/b.

For a right triangle, there are six trigonometric ratios: sine, cosine (cos), tangent, cosecant, secant, and cotangent. In these worksheets, students will be working primarily with sine. Your students will be given the value of sides and/or angles of a triangle, and they will then calculate the missing value of a specified side, or the missing value of a specified angle. Diagrams of each triangle the student will be working with are provided as visual aids. Students may require extra paper for their calculations. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, a review, and a quiz. Problems are also provided for students to practice independently. When finished with this set of worksheets, students will be able to solve problems using trigonometric ratios. These worksheets explain how to use trigonometric ratios to find the missing value of a triangle. Sample problems are solved and practice problems are provided.

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Trigonometric Ratios Worksheets

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Trigonometric Ratios Lesson

This worksheet explains how to find the length of a side of a triangle using ratios. A sample problem is solved, and two practice problems are provided.

Worksheet

Students will find all the missing lengths of a missing side of a triangle using ratios. Ten problems are provided.

Practice

Using all the information that is given to you in order to find the missing value of a side. Ten problems are provided.

Review

The concept of how to find the length of a side of a triangle using ratios is reviewed. A sample problem is solved and six practice problems are provided.

Quiz

Students will demonstrate their proficiency with this skill and where they should be going with it. Ten problems are provided.

Check

This is really good to use as a series of exercises to get better. Three problems are provided, and space is included for students to copy the correct answer when given.