Definition--Geometry Basics--Pythagorean Identity 2
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Algebra >> Trig Expressions and Functions >> Trig Expressions and Identities

Definition--Geometry Basics--Pythagorean Identity 2

Pythagorean Identity 2

Pythagorean Identity 2

Topic

Geometry Basics

Definition

The second Pythagorean identity states that tan²(θ) + 1 = sec²(θ).

Description

This identity helps to establish relationships between tangent and secant functions, facilitating simplification of complex trigonometric expressions. Acquiring a solid understanding of all Pythagorean identities enhances students’ problem-solving capabilities in mathematical contexts. These identities have practical applications in engineering fields, aiding in calculations involving waves and oscillations, further illustrating their importance in both academic studies and real-world applications.

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