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.