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Geometry Flashcards: Proving Angle Addition Subtraction Formulas

Study Proving Angle Addition Subtraction Formulas in Geometry with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

State the formula for sin⁡(α−β)\sin(\alpha-\beta).

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ANSWER

sin⁡(α−β)=sin⁡αcos⁡β−cos⁡αsin⁡β\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta. Standard angle subtraction formula for sine function.

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Geometry: Trigonometric Identities

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What this deck covers

This deck focuses on Proving Angle Addition Subtraction Formulas, giving you a quick way to review the definitions, rules, and examples that matter most for Geometry.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 16Practice questions for this set
Given that cos⁡(α−β)=cos⁡αcos⁡β+sin⁡αsin⁡β\cos(\alpha - \beta) = \cos \alpha \cos \beta + \sin \alpha \sin \beta, which of the following correctly represents cos⁡(60°−45°)\cos(60° - 45°) using this formula?
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