What is the cosine of angle J if the adjacent side is 9 and the hypotenuse is 41?

The cosine of angle J is $$\frac{9}{41}$$ .

What is the tangent of angle C if the opposite side is 20 and the adjacent side is 21?

The tangent of angle C is $$\frac{20}{21}$$ .

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

The relationship can be expressed as: $$\text{tan} = \frac{\text{sin}}{\text{cos}}$$ .

What is the value of the hypotenuse if the opposite side is 20 and the adjacent side is 21?

Using the Pythagorean theorem: $$c = \text{sqrt}(20^2 + 21^2) = \text{sqrt}(400 + 441) = \text{sqrt}(841) = 29$$ .

If the hypotenuse is 34 and the opposite side is 40, what is the sine of the angle?

The sine of the angle is $$\frac{40}{34} = \frac{20}{17}$$ .

What is the formula to find the length of the opposite side using the sine ratio?

The formula is: $$\text{opposite} = \text{hypotenuse} \times \text{sin}(\theta)$$ .

What is the formula to find the length of the adjacent side using the cosine ratio?

The formula is: $$\text{adjacent} = \text{hypotenuse} \times \text{cos}(\theta)$$ .

What is the formula to find the length of the opposite side using the tangent ratio?

The formula is: $$\text{opposite} = \text{adjacent} \times \text{tan}(\theta)$$ .

Basic Trig Ratios Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the definition of the sine ratio?

Back

Tags

CCSS.HSG.SRT.C.6

2.

FLASHCARD QUESTION

Front

What is the definition of the cosine ratio?

Back

Tags

CCSS.HSG.SRT.C.6

3.

FLASHCARD QUESTION

Front

What is the definition of the tangent ratio?

Back

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

What is the Pythagorean theorem?

Back

Tags

CCSS.8.G.B.8

5.

FLASHCARD QUESTION

Front

If the opposite side is 40 and the adjacent side is 9, what is the tangent ratio?

Back

Tags

CCSS.HSG.SRT.C.6

6.

FLASHCARD QUESTION

Front

What is the length of the hypotenuse if the opposite side is 40 and the adjacent side is 9?

Back

Tags

CCSS.8.G.B.7

7.

FLASHCARD QUESTION

Front

What is the sine of angle J if the opposite side is 40 and the hypotenuse is 41?

Back

Tags

CCSS.HSG.SRT.C.6

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