How do you find the sine of an angle in a right triangle?

Sine is the ratio of the length of the opposite side to the hypotenuse.

If the hypotenuse is 10 and the opposite side is 6, what is the sine of the angle?

$$\frac{6}{10} = \frac{3}{5}$$ .

What is the definition of an adjacent side in a right triangle?

The side that forms one of the angles with the hypotenuse.

ACTIVITY Trigonometric Ratios-Labeling and Writing Trig Ratios Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the ratio for Cosine?

Back

$\frac{adj}{hypo}$

Tags

CCSS.HSG.SRT.C.6

2.

FLASHCARD QUESTION

Front

What leg is considered the hypotenuse?

Back

The side opposite the right angle.

3.

FLASHCARD QUESTION

Front

Name the adjacent side to $\angle D$ .

Back

DF

4.

FLASHCARD QUESTION

Front

What is the ratio for Sine?

Back

$\frac{opp}{hypo}$

Tags

CCSS.HSG.SRT.C.6

5.

FLASHCARD QUESTION

Front

Find sin $\theta$ . (HINT: Find the missing side length)

Back

$\frac{4}{5}$

Tags

CCSS.HSG.SRT.C.6

6.

FLASHCARD QUESTION

Front

What is the ratio for Tangent?

Back

$\frac{opp}{adj}$

Tags

CCSS.HSG.SRT.C.6

7.

FLASHCARD QUESTION

Front

Define the term 'hypotenuse'.

Back

The longest side of a right triangle, opposite the right angle.

8.

FLASHCARD QUESTION

Front

What is the Pythagorean theorem?

Back

In a right triangle, $a^2 + b^2 = c^2$ , where c is the hypotenuse.

Tags

CCSS.8.G.B.8

9.

FLASHCARD QUESTION

Front

If the opposite side is 3 and the adjacent side is 4, what is the tangent of the angle?

Back

$\frac{3}{4}$

Tags

CCSS.HSG.SRT.C.6

10.

FLASHCARD QUESTION

Front

What is the relationship between sine and cosine?

Back

$\sin^2(\theta) + \cos^2(\theta) = 1$ .

Tags

CCSS.HSG.SRT.C.7

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