Calculate $$\tanig(T$$ for a right triangle with opposite side 33 and adjacent side 44.

$$\tanig(T = \frac{33}{44} = \frac{3}{4}$$ .

Calculate $$\tanig(V$$ for a right triangle with opposite side 16 and adjacent side 12.

$$\tanig(V = \frac{16}{12} = \frac{4}{3}$$ .

Calculate $$\frac{48}{60}$$ in simplest form.

$$\frac{48}{60} = \frac{4}{5}$$ .

If $$\tanig(T$$ = $$\frac{33}{44}$$ , what is $$\frac{opposite}{adjacent}$$ ?

$$\frac{opposite}{adjacent} = \frac{33}{44}$$ .

If $$\tanig(V$$ = $$\frac{16}{12}$$ , what is the opposite side if the adjacent side is 12?

Opposite side = $$\tanig(V$$ * adjacent = $$\frac{16}{12} * 12 = 16$$ .

What is the relationship between sine, cosine, and tangent?

$$\tanig(\theta) = \frac{\text{sin}(\theta)}{\text{cos}(\theta)}$$ .

Find $$\frac{33}{55}$$ in simplest form.

$$\frac{33}{55} = \frac{3}{5}$$ .

If $$\tanig(T$$ = $$\frac{33}{44}$$ , what is $$\text{sin}(T)$$ ?

$$\text{sin}(T) = \frac{33}{55}$$ .

If $$\text{cos}(V) = \frac{12}{20}$$ , what is the adjacent side if the hypotenuse is 20?

Adjacent side = $$\text{cos}(V) * hypotenuse = \frac{12}{20} * 20 = 12$$ .

What is the formula to find the hypotenuse using sine?

$$\text{hypotenuse} = \frac{\text{opposite}}{\text{sin}(\theta)}$$ .

What is the formula to find the adjacent side using cosine?

$$\text{adjacent} = \text{hypotenuse} * \text{cos}(\theta)$$ .

Unit 4 - Sine, Cosine, and Tangent Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of sine in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

2.

FLASHCARD QUESTION

Front

What is the definition of cosine in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

3.

FLASHCARD QUESTION

Front

What is the definition of tangent in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

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