If the opposite side is 12 and the adjacent side is 9, what is tan(θ)?

$$\text{tan} \theta = \frac{12}{9}$$ .

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: $$a^2 + b^2 = c^2$$ .

How do you find the length of the hypotenuse using the Pythagorean theorem?

To find the hypotenuse (c), use the formula: $$c = \text{sqrt}(a^2 + b^2)$$ .

What is the relationship between the angles and sides in a right triangle?

The angles in a right triangle determine the ratios of the lengths of the sides, which are constant for given angles.

What is the value of sin(30°)?

$$\text{sin}(30°) = \frac{1}{2}$$ .

What is the value of cos(60°)?

$$\text{cos}(60°) = \frac{1}{2}$$ .

How can you determine if a triangle is a right triangle using trigonometric ratios?

If the ratios of the sides satisfy the Pythagorean theorem, then the triangle is a right triangle.

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 (sin) in terms of a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

3.

FLASHCARD QUESTION

Front

Define cosine (cos) in terms of a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

Define tangent (tan) 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 7 and the hypotenuse is 12, what is sin(θ)?

Back

Tags

CCSS.HSG.SRT.C.6

7.

FLASHCARD QUESTION

Front

If the adjacent side is 9 and the hypotenuse is 12, what is cos(θ)?

Back

Tags

CCSS.HSG.SRT.C.6

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