Activity 3a – Inverse Functions
This activity explores the details of finding an inverse to a function and the implications on the domain and range of the function and its inverse. It is related to the discussion of the inverse trig functions in Topics 3.1, 3.2 and 3.3.
It is a very visual lesson, and students should have some piece of technology to graph several functions at once.
Activity 3b – Angle Sum Formulas Part I
This activity is the first of three that generates formulas useful to simplify trig expressions. These formulas are used in Topics 3.5, 3.6 and 3.7.
There are several issues that students will have to sort out, including interpreting function notation, some geometry, symmetry, and some pretty intense algebra.
Activity 3c – Angle Sum Formulas Part II
This activity builds upon Activity 3b and continues to generate formulas used in Topics 3.5, 3.6 and 3.7.
Again, students will have to sort out function notation, geometry, symmetry, and algebra.
Activity 3d – Double Angle Formulas
This activity is directly related to the formulas in Topic 3.7. It finishes the work that began in Activity 3b and 3c.