How do you find the length of the opposite side using sine?

To find the opposite side, use the formula: $$\text{opposite} = \text{hypotenuse} \times \text{sine}(\theta)$$ .

What is the formula for finding the adjacent side using cosine?

To find the adjacent side, use the formula: $$\text{adjacent} = \text{hypotenuse} \times \text{cosine}(\theta)$$ .

If you know the opposite side and adjacent side, which trig function do you use?

You use the tangent function: $$\text{tangent}(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$ .

What is the Pythagorean theorem?

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: $$a^2 + b^2 = c^2$$ .

If the opposite side is 16 and the hypotenuse is 34, what is the sine of the angle?

$$\text{sine} = \frac{16}{34} \text{ or approximately } 0.47$$ .

What is the opposite side in a right triangle?

The opposite side is the side opposite to the angle being considered in a right triangle.

If the hypotenuse is 41 and the opposite side is 40, what is the sine of the angle?

$$\text{sine} = \frac{40}{41} \text{ or approximately } 0.98$$ .

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

The adjacent side is the side that forms one of the angles of the triangle, excluding the hypotenuse.

Identify Trig Ratios Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a trigonometric ratio?

Back

A trigonometric ratio is a ratio of the lengths of two sides of a right triangle. The primary trigonometric ratios are sine, cosine, and tangent.

Tags

CCSS.HSG.SRT.C.6

2.

FLASHCARD QUESTION

Front

Define sine in terms of a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

3.

FLASHCARD QUESTION

Front

Define cosine in terms of a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

Define tangent in terms of a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

5.

FLASHCARD QUESTION

Front

What is the hypotenuse in a right triangle?

Back

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

6.

FLASHCARD QUESTION

Front

If the opposite side is 30 and the hypotenuse is 50, what is the sine of the angle?

Back

Tags

CCSS.HSG.SRT.C.6

7.

FLASHCARD QUESTION

Front

What is the relationship between sine and cosine?

Back

Tags

CCSS.HSG.SRT.C.7

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