1/8; PCH Do Now Review

Front

What is the formula for \( \sin(\alpha + \beta) \)?

Back

\( \sin(\alpha + \beta) = \sin\alpha \cos\beta + \cos\alpha \sin\beta \)

Front

What is the formula for \( \cos(\alpha - \beta) \)?

Back

\( \cos(\alpha - \beta) = \cos\alpha \cos\beta + \sin\alpha \sin\beta \)

Front

What is the double-angle identity for \( \sin(2\theta) \)?

Back

\( \sin(2\theta) = 2\sin\theta \cos\theta \)

Front

What is the double-angle identity for \( \cos(2\theta) \)?

Back

\( \cos(2\theta) = \cos^2\theta - \sin^2\theta \) or \( 2\cos^2\theta - 1 \) or \( 1 - 2\sin^2\theta \)

Front

What is the equivalent of \( \tan(\frac{\pi}{3}) \)?

Back

\( \tan(\frac{\pi}{3}) = \frac{2\tan(\frac{\pi}{6})}{1 - \tan^2(\frac{\pi}{6})} \)

Front

What is the sum formula for \( \sin(\alpha + \beta) \) in terms of sine and cosine?

Back

\( \sin(\alpha + \beta) = \sin\alpha \cos\beta + \cos\alpha \sin\beta \)

Front

What is the difference formula for \( \sin(\alpha - \beta) \)?

Back

\( \sin(\alpha - \beta) = \sin\alpha \cos\beta - \cos\alpha \sin\beta \)

Front

What is the sum formula for \( \cos(\alpha + \beta) \)?

Back

\( \cos(\alpha + \beta) = \cos\alpha \cos\beta - \sin\alpha \sin\beta \)

Front

What is the difference formula for \( \cos(\alpha - \beta) \)?

Back

\( \cos(\alpha - \beta) = \cos\alpha \cos\beta + \sin\alpha \sin\beta \)

Front

What is the relationship between sine and cosine for complementary angles?

Back

\( \sin(90° - \theta) = \cos(\theta) \) and \( \cos(90° - \theta) = \sin(\theta) \)