What is the value of $$\tan(30^o)$$ ?

$$\tan(30^o) = \frac{1}{\tan(60^o)} = \frac{1}{\frac{\text{sqrt}(3)}{3}} = \frac{1}{\text{sqrt}(3)}$$ .

What is the value of $$\tan(75^o)$$ ?

$$\tan(75^o) = \tan(45^o + 30^o) = \frac{\tan(45^o) + \tan(30^o)}{1 - \tan(45^o)\tan(30^o)} = \tan(75^o)$$ .

What is the value of $$\tan(15^o)$$ ?

$$\tan(15^o) = \tan(45^o - 30^o) = \frac{\tan(45^o) - \tan(30^o)}{1 + \tan(45^o)\tan(30^o)} = 2 - \text{sqrt}(3)$$ .

Expand $$\text{cos}(A + B)$$ using the cosine sum formula.

$$\text{cos}(A + B) = \text{cos}(A)\text{cos}(B) - \text{sin}(A)\text{sin}(B)$$ .

Expand $$\text{sin}(A + B)$$ using the sine sum formula.

$$\text{sin}(A + B) = \text{sin}(A)\text{cos}(B) + \text{cos}(A)\text{sin}(B)$$ .

What is the exact value of $$\text{cos}(105^o)$$ using sum or difference angles identity?

$$\text{cos}(105^o) = \frac{\text{sqrt}(6) - \text{sqrt}(2)}{4}$$ .

What is the exact value of $$\text{cos}(265 - 25)$$ ?

$$\text{cos}(265 - 25) = \text{cos}(240^o) = -\frac{1}{2}$$ .

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

For complementary angles A and B, $$\text{sin}(A) = \text{cos}(90^o - A)$$ and $$\text{cos}(A) = \text{sin}(90^o - A)$$ .

Sum and difference of sin, cos & tan Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Define the sum of angles formula for sine.

Back

Tags

CCSS.HSF.TF.C.9

2.

FLASHCARD QUESTION

Front

Define the difference of angles formula for sine.

Back

Tags

CCSS.HSF.TF.C.9

3.

FLASHCARD QUESTION

Front

Define the sum of angles formula for cosine.

Back

Tags

CCSS.HSF.TF.C.9

4.

FLASHCARD QUESTION

Front

Define the difference of angles formula for cosine.

Back

Tags

CCSS.HSF.TF.C.9

5.

FLASHCARD QUESTION

Front

Define the sum of angles formula for tangent.

Back

Tags

CCSS.HSF.TF.C.9

6.

FLASHCARD QUESTION

Front

Define the difference of angles formula for tangent.

Back

Tags

CCSS.HSF.TF.C.9

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.A.2

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