# Activities

• • • ##### Subject Area

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

• ##### Author 9-12

20 Minutes

• ##### Device
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

2.0

## Exploration of Trig Ratios #### Activity Overview

Students discover the relationship between the trigonometric functions sine, cosine, and tangent and the side length ratios of a right triangle.

#### Key Steps

• Students first investigate ratios and trigonometric values.

They find the sine, cosine, and tangent of an angle then find the ratio between the hypotenuse, adjacent and opposite sides.

• Students then explore trigonometric relationships further by completing exercises provided. These exercises ask students to find the length of a missing side of a right triangle using the trigonometric ratios.

• By the end of this activity, students will be able to use in context hypotenuse, opposite, and adjacent.

Students will know how to use trigonometric formulas to calculate a missing side length.