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Precalculus Flashcards: Proving Angle Addition Subtraction Formulas

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

QUESTION

Find tan⁡(α−β)\tan(\alpha-\beta) if tan⁡α=2\tan\alpha=2 and tan⁡β=13\tan\beta=\frac{1}{3}.

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ANSWER

11. Use tangent subtraction: 2−131+2⋅13=5353=1\frac{2-\frac{1}{3}}{1+2\cdot\frac{1}{3}}=\frac{\frac{5}{3}}{\frac{5}{3}}=1.

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Precalculus: Trigonometric Identities

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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 Precalculus.

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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 47Practice questions for this set
Consider the equation sin⁡(x+60°)=sin⁡xcos⁡60°+cos⁡xsin⁡60°\sin(x + 60°) = \sin x \cos 60° + \cos x \sin 60°. If a student wants to use this to find the exact value of sin⁡(105°)\sin(105°), which substitution for xx would be most strategic?
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