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Definition--Geometry Basics--Pythagorean Identity 3

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
Grade Range 8 - 12
Curriculum Nodes Algebra
    • Trig Expressions and Functions
        • Trig Expressions and Identities
Copyright Year 2020
Keywords trig ratios, trig identities