1. Lesson 1

1.5. Explore

Mathematics 20-1 Module 2

Module 2: Trigonometry

 

Explore

 

Try This 1 is based on an extended definition of cosine and sine that allows for any angle 0° ≤ θ ≤ 360°. ∠θ in Try This 1 is an example of an angle in standard position. Before going further, it is important to discuss angles in standard position.

 

Angles in standard position

  • have their vertex at the origin (point (0, 0) on the Cartesian plane)
  • are formed by an initial arm on the positive x-axis and a terminal arm
  • are “swept out” in a counterclockwise direction from the initial arm to the terminal arm
This is a picture of an angle in standard position. The initial arm is the positive x-axis, the vertex is at the origin, and the terminal arm is in quadrant 2. The angle is marked as theta equals 122 degrees.

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glossary

Here are some of the words you will want to define in Module 2 Glossary Terms in this lesson:

  • standard position
  • vertex
  • initial arm
  • terminal arm
  • unit circle