How can you express $$\text{sin}\frac{\text{pi}}{12}$$ using sum or difference formulas?

$$\text{sin}igg(\frac{\text{pi}}{3} - \frac{\text{pi}}{4}igg)$$

What is the exact value of $$\text{cos}(105^\text{o})$$ ?

$$\frac{\text{sqrt}(2) - \text{sqrt}(6)}{4}$$

Expand $$\text{sin}(33^\text{o} + 42^\text{o})$$ using the sum formula.

$$\text{sin}(33^\text{o})\text{cos}(42^\text{o}) + \text{cos}(33^\text{o})\text{sin}(42^\text{o})$$

What is the value of $$\text{cos}(A - B)$$ when $$A = 60^\text{o}$$ and $$B = 30^\text{o}$$ ?

$$\text{cos}(30^\text{o}) = \frac{\text{sqrt}(3)}{2}$$

If $$A = 45^\text{o}$$ and $$B = 60^\text{o}$$ , what is $$\text{sin}(A + B)$$ ?

$$\text{sin}(105^\text{o}) = \text{sin}(45^\text{o})\text{cos}(60^\text{o}) + \text{cos}(45^\text{o})\text{sin}(60^\text{o})$$

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

$$\text{sin}(A) = \text{cos}(90^\text{o} - A)$$

How do you derive the sine of a negative angle?

$$\text{sin}(-A) = -\text{sin}(A)$$

Trig: 12.2 Sum and Difference Formulas

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.TF.C.9, HSG.SRT.C.7, HSF.TF.A.2

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FLASHCARD QUESTION

Front

What is the sum formula for sine?

Back

Tags

CCSS.HSF.TF.C.9

FLASHCARD QUESTION

Front

What is the difference formula for sine?

Back

Tags

CCSS.HSF.TF.C.9

FLASHCARD QUESTION

Front

What is the sum formula for cosine?

Back

Tags

CCSS.HSF.TF.C.9

FLASHCARD QUESTION

Front

What is the difference formula for cosine?

Back

Tags

CCSS.HSF.TF.C.9

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.C.9

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.C.9

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.C.9

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