In this Geometry course, trigonometry is anchored in right triangle trigonometry as evidenced by standards G-SRT.C.6–8 in the cluster that states: Define trigonometric ratios and solve problems involving right triangles. The focus is on the values of ratios for a given right triangle. This is an important distinction from trigonometry studied in Algebra II, which is studied from the perspective of functions; sine, cosine, and tangent are functions of any real number, not just those of right triangles.
The language in G-SRT.C.8 juxtaposes trigonometric ratios and the Pythagorean theorem in the same standard, which leads directly to the Pythagorean identity for right triangles. In Algebra II, students prove that the identity holds for all real numbers. Presently, this lesson offers an opportunity for students to develop deep understanding of the relationship between the trigonometric ratios and the Pythagorean theorem.
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