# Pythagorean Identity 1

Geometry Basics

## Definition

The first Pythagorean identity states that sin²(θ) + cos²(θ) = 1 for any angle θ.

## Description

Pythagorean identities are foundational to trigonometry and are crucial for solving equations involving sine and cosine functions. Understanding this identity helps students grasp relationships between different trigonometric ratios and is applied in various fields, such as physics, engineering, and computer science. These identities form the basis for transformations in sinusoidal functions, emphasizing their relevance across scientific disciplines.

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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 8 - 12 Algebra     • Trig Expressions and Functions         • Trig Expressions and Identities 2020 trig ratios, trig identities