# Reference Angles and Triangles Worksheets

What are Reference Angles Used For? Understand by definition: If you want to simplify the calculation of trigonometric functions value from many angles, use reference angles and calculator for this. By practice experience, you will learn simple trigonometric equations values. Reference angles will help you spread some equations to furthermore ones. Explanation by textual math: Reference angles ever have a ratio among 0 and π / 2. Reference angles are periodic in nature of the trigonometric functions. That is why trigonometric function value at any angle will be same if there will not any change in sign. If we recognize the signs of the functions in multiple quadrants, you can simplify function's value calculation at any angle to the function's value at the reference angle for that angle. Facts:Then, you are going to be quite aware of terms such as sin(π / 4), and, without examining more, you are going to learn that the answer will be √ 2 / 2. In this, it deceits the worth of reference angles. Only you have to be aware of function's value starts from 0 to π / 2. The function's sign in sole quadrant to be clever to estimate the value of a function at all angle.

• ### Basic Lesson

Guides students solving equations that involve reference angles and triangles. Demonstrates answer checking. The angle is one complete revolution plus 20°.

• ### Intermediate Lesson

Demonstrates how to solve more difficult problems.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of reference angles and triangles.

• ### Independent Practice 2

Students find a series of reference angles and triangles in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of reference angles and triangles.

• ### Skill Quiz

This tests the students ability to evaluate reference angles and triangles.

• ### Answer Key

Answers for math worksheets, quiz, homework, and lessons.

#### What You Talking About?

A tragedy of mathematics is a beautiful conjecture ruined by an ugly fact. Algebraic symbols are used when you do not know what you are talking about.