The following activity sheets will give your students practice in working with different trigonometric cofunctions.

#### What are the Trigonometric Functions? A trigonometric function is a function of a finite quantity or angle. There are a total six functions such as sine(sin), Cosine(cos), Tangent(tan), Cosecant(csc), and Cotangent(cot). The most commonly used functions in based on right-angled triangles, including Tangent, Sine, and Cosine. These common functions are simply set ratios of a right-angled triangle. For any angle the ratio stays the same, no matter how small or large the triangle is.

We use trigonometric functions to associate the angles of the triangle with the sides of that triangle. Also, we use them to study and solve problems related to triangles. We use right angle triangle to define trigonometric functions for angle theta. One function relates the angle to both sides of a right triangle. First of all, understand the sides of the triangle. Hypotenuse- It is the opposite and longest side of the right triangle. Theta - Hypotenuse is also the opposite site to the angle theta. Theta and Right Angle - triangle's adjacent side contain both angles that are angle theta and the right. Relationship Between Trigonometric Functions and Sides of the Triangle : The connection between the two are as follows: Sine(theta)= opposite/hypotenuse, Cosecant(theta)= hypotenuse/opposite, Cosine(theta)= adjacent/hypotenuse, Secant(theta)= hypotenuse/adjacent, Tangent(theta)= opposite/adjacent, Cotangent(theta)= adjacent/opposite. What is a practical way of using these functions? You can solve a problem with this practical way of using these functions: The incline plane angle is 23 degrees, the length of its altitude is 2500 meters. The supposed value of Hypotenuse is x. Find the value of x. Here, we will use Sin. Sin(23)=2500m / x, x = 6398.3 meters. With this collection of worksheets you are inter-working with these common functions and evaluating conversions between them. These worksheets explain how to solve trigonometric functions. Your students will use these worksheets to learn how to simplify and find the values of different trigonometric functions. Students should already be familiar with sine, cosine, tangent, cotangent, secant, and cosecant.

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## Trigonometric Functions Lesson

This worksheet explains how to solve these guys. A sample problem is solved, and two practice problems are provided.

## Practice Worksheet

Students will solve a wide variety of problems and find missing angles. Ten problems are provided.

## Worksheet 2

These sheet builds up from the previous selection and gives students a slightly different prospective to work with. There are another set of ten problems on this page.

## Review and Practice

All the concepts that we learned are reviewed here. A sample problem is solved and six practice problems are provided.

## Topic Quiz

Students will demonstrate their proficiency solving these types of problems. Ten problems are provided on this quiz.

## Skills Check

This sheet can be used for a warm up or review as a class. Three problems are provided, and space is included for students to copy the correct answer when given.