This lesson introduces students to the use of reasoning based on trigonometric ratios to determine an unknown angle in a right triangle (G-SRT.C.8). At this stage, students are limited to understanding trigonometry in terms of ratios rather than functions. However, the concept of an inverse is not dealt with in this course; this is left until Algebra II (F-BF.B.4).
Therefore, these ideas are introduced carefully and without the formalism of inverses, based on students’ existing understanding of trigonometric ratios. It is important not to introduce the idea of inverses at this juncture, without care, which is why the lesson refers more generally to arcsin, arccos, and arctan as “words” that mathematicians have used to name, identify, or refer to the degree measures that give a certain trigonometric ratio.
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