This lesson is intended to follow immediately after "Introduction to Trigonometry - Sine, Cosine and Tangent".
First students are given an explanation of what is meant by "inverse function". This is explained first in general and then my means of example.
Students are then asked to transfer what they know about inverse functions in general to the trig functions sin, cos and tan. Arcsin, arccos and arctan are then defined.
After the definitions of the inverse trig functions, a set of problems follows. The first familiarize students with the button sequences necessary to find the inverses on a calculator. Those that follow are geometrical diagrams with unknown angles; the teacher here demonstrates how to find those unknown angles by means of the inverse trig functions.
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I spent a decade as a teacher at colleges and universities in Central and North Indiana. These include Purdue University, Notre Dame and Wabash University. In 2005 the opportunity arose to enter secondary education and become a high school mathematics instructor. My undergraduate major was in mathematics. (Indeed I graduated with over 40 semester hours of mathematics; my G.P.A was a 4.0.) I jumped at the opportunity and since have specialized in geometry. I teach both Honors and College Prep geometry courses.
