# Activities

• • • ##### Subject Area

• Math: Precalculus: Trigonometry (Triangle and Circular Functions)

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-84 Plus
• TI-84 Plus Silver Edition
• TI-84 Plus C Silver Edition
• TI-84 Plus CE
• ##### Software

TI Connect™ CE

## Trig Ratios - IB

Updated on 05/12/2022 #### Activity Overview

In this activity, students will use Cabri™ Jr. to discover the relationship between the trigonometric functions: sine, cosine and tangent and the side length ratios of a right triangle.

#### Objectives

• Students will understand that trigonometric functions of an angle do not depend on the size of the triangle within which the angle is contained, but rather on the ratios of the sides of the triangle.
• Students will understand the meaning of reference angles and use reference angles to determine the trigonometric functions of a given angle.
• Students will create an algorithm to determine the trigonometric functions of an angle based on its reference angle.

#### Vocabulary

• logarithmic expressions
• equivalent expressions
• exponential properties