What is the cosine of an angle in a right triangle?

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

If one side of a right triangle is 12m and the other is 5m, what is the length of the hypotenuse?

Using the Pythagorean Theorem: $$c = \text{hypotenuse}, a = 12m, b = 5m$$ . Calculate: $$c = \text{sqrt}(12^2 + 5^2) = \text{sqrt}(144 + 25) = \text{sqrt}(169) = 13m$$ .

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

In a right triangle, the sum of the three angles is always 180 degrees, and one of the angles is always 90 degrees.

How do you find the length of a side if you know one angle and one side?

You can use trigonometric ratios: - For the opposite side: $$\text{opposite} = \text{hypotenuse} \times \text{sin}(\theta)$$ - For the adjacent side: $$\text{adjacent} = \text{hypotenuse} \times \text{cos}(\theta)$$ .

What is the definition of a right triangle?

A right triangle is a triangle that has one angle measuring 90 degrees.

What is the formula for calculating the area of a right triangle?

The area of a right triangle can be calculated using the formula: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ .

What is the significance of the 30-60-90 triangle?

In a 30-60-90 triangle, the sides are in a specific ratio: the lengths of the sides opposite the 30°, 60°, and 90° angles are in the ratio 1:√3:2.

What is the significance of the 45-45-90 triangle?

In a 45-45-90 triangle, the sides are in the ratio 1:1:√2, meaning the two legs are equal in length.

Trig Pre-test Flashcards

Student preview

16 questions

Show all answers

1.

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.

2.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

3.

FLASHCARD QUESTION

Front

What is the formula to find the length of a side in a right triangle using the Pythagorean Theorem?

Back

4.

FLASHCARD QUESTION

Front

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

Back

The adjacent side is the side next to the angle of interest in a right triangle.

5.

FLASHCARD QUESTION

Front

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

Back

The opposite side is the side opposite the angle of interest in a right triangle.

6.

FLASHCARD QUESTION

Front

How do you calculate the angle in a right triangle using trigonometric ratios?

Back

7.

FLASHCARD QUESTION

Front

What is the sine of an angle in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

10 questions

Output Devices

Flashcard

•

10th Grade

13 questions

Simple Tips for Healthy Eating

Flashcard

•

10th Grade

10 questions

Purpose Clauses

Flashcard

•

10th - 11th Grade

13 questions

[AP CSP] Binary Conversion

Flashcard

•

9th - 12th Grade

9 questions

Parts of a Computer

Flashcard

•

9th - 12th Grade

15 questions

Plant Structure and Function Review

Flashcard

•

9th - 12th Grade

15 questions

The Genre of Science Fiction

Flashcard

•

11th - 12th Grade

15 questions

English to Arabic Clothing Vocabulary

Flashcard

•

9th Grade - University

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

20 questions

Figurative Language Review

Quiz

•

6th Grade

Discover more resources for Physics

18 questions

Universal Law of Gravitation

Lesson

•

11th Grade

20 questions

Potential and Kinetic Energy

Quiz

•

9th - 12th Grade

34 questions

Energy Review

Quiz

•

9th - 12th Grade

14 questions

Bill Nye Waves

Interactive video

•

9th - 12th Grade

$Reflection, Refraction & Diffraction$

24 questions

Reflection, Refraction & Diffraction

Quiz

•

6th - 12th Grade

14 questions

Work and Energy intro

Interactive video

•

8th - 10th Grade