Lesson Plan

Explain why sine, cosine, and tangent are not one-to-one on their full domains and therefore do not have inverses without restriction

Identify the standard restricted domains: sin on [-pi/2, pi/2], cos on [0, pi], tan on (-pi/2, pi/2)

Justify why each restricted domain produces a one-to-one function (always increasing or always decreasing)

State the domain and range of arcsin, arccos, and arctan

Evaluate inverse trigonometric functions at standard values (e.g., arcsin(1/2) = pi/6)

Explain why the restricted domain choice is a convention and recognize that other restrictions would produce different inverse functions

HSF.TF.B.6

HSF.TF.B.6: (+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.