Display Title
Definition--Geometry Basics--Pythagorean Identity 3
Display Title
Definition--Geometry Basics--Pythagorean Identity 3
Pythagorean Identity 3
Topic
Geometry Basics
Definition
The third Pythagorean identity states that cot²(θ) + 1 = csc²(θ).
Description
Similar to the other identities, this establishes comprehensive relationships among key trigonometric ratios. Understanding these relationships is vital for advanced mathematics courses that deal with algebraic expressions, integrals, and calculus dimensions. These identities provide a pathway for complex problem solving found throughout higher-level math education, critical for students pursuing careers in math-intensive fields like physics or data analysis.
For a complete collection of terms related to Geometry Basics click on this link: Geometry Basics Collection
Common Core Standards | CCSS.MATH.CONTENT.HSG.SRT.D.10, CCSS.MATH.CONTENT.HSG.SRT.D.11, CCSS.MATH.CONTENT.HSG.SRT.C.6, CCSS.MATH.CONTENT.HSG.SRT.C.7, CCSS.MATH.CONTENT.HSF.TF.C.9, CCSS.MATH.CONTENT.HSF.TF.C.8 |
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Grade Range | 8 - 12 |
Curriculum Nodes |
Algebra • Trig Expressions and Functions • Trig Expressions and Identities |
Copyright Year | 2020 |
Keywords | trig ratios, trig identities |