Education Technology

# Activities

Aust Senior

45 Minutes

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

TI-Nspire™ CAS
TI-Nspire™

4.5

## Six Trig Functions

#### Activity Overview

The six trigonometric functions: sine, cosine, tangent, secant, cosecant and cotangent are all inter-connected. In this activity students use a dynamic representation of the unit circle with each trigonometric function to identify relationships. They see why co-sine, co-tangent and co-secant are so named and where the identities come from, including the opportunity to build their own.

#### Objectives

Students develop meaningful connections between the six trigonometric functions beyond the simplistic memorisation of ‘the third letter’ for cosec, sec and cot. Through understanding students are better equipped to answer questions beyond rote learning.

#### Vocabulary

• sine (sin)
• cosine (cos)
• tangent (tan)
• secant (sec)
• cosecant (cosec)
• cotangent (cot)
• Similar triangles
• Pythagoras's theorem