What is the definition of tangent in a right triangle?

Tangent is defined as the ratio of the length of the opposite side to the length of the adjacent side, or $$\text{tan}(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$ .

What is the relationship between sine and cosine?

Sine and cosine are related through the Pythagorean identity: $$\text{sin}^2(\theta) + \text{cos}^2(\theta) = 1$$ .

What is the formula for the area of a triangle using sine?

The area of a triangle can be calculated using the formula: $$\text{Area} = \frac{1}{2}ab\text{sin}(C)$$ , where a and b are the lengths of two sides and C is the included angle.

What is the Law of Sines?

The Law of Sines states that $$ \frac{a}{\text{sin}(A)} = \frac{b}{\text{sin}(B)} = \frac{c}{\text{sin}(C)} $$ for any triangle.

What is the definition of a vector?

A vector is a quantity that has both magnitude and direction, often represented in component form as .

How do you convert a vector from component form to magnitude and direction?

To find the magnitude, use $$||v|| = \text{sqrt}(x^2 + y^2)$$ . The direction can be found using $$\text{tan}(\theta) = \frac{y}{x}$$ .

What is the significance of quadrant bearings in navigation?

Quadrant bearings provide a way to describe directions using angles measured from the north or south towards the east or west.

What is the relationship between the angles in a triangle?

The sum of the interior angles in a triangle is always 180 degrees.

NC Math 4 Final Exam Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the component form of a vector?

Back

The component form of a vector is expressed as , where x is the horizontal component and y is the vertical component.

2.

FLASHCARD QUESTION

Front

How do you determine the quadrant bearing from a diagram?

Back

Quadrant bearing is determined by measuring the angle from the north or south line towards the east or west direction.

3.

FLASHCARD QUESTION

Front

What is the Law of Cosines?

Back

4.

FLASHCARD QUESTION

Front

What is the ratio for TanC in a right triangle?

Back

5.

FLASHCARD QUESTION

Front

What is the Pythagorean identity involving sine and cosine?

Back

6.

FLASHCARD QUESTION

Front

What is the definition of sine in a right triangle?

Back

7.

FLASHCARD QUESTION

Front

What is the definition of cosine in a right triangle?

Back

Create a free account and access millions of resources

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

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?

Similar Resources on Wayground

11 questions

3D Design Vocabulary Flashcard

Flashcard

•

10th Grade

5 questions

Kuis statistika

Flashcard

•

11th Grade - University

12 questions

Organic 2 Exam 4 Review

Flashcard

•

KG

8 questions

CHILDREN 2 (1ST CLASS)

Flashcard

•

KG

11 questions

7517 05 Structured Programming

Flashcard

•

10th Grade - University

12 questions

Descriptive adjectives for Home and Furniture

Flashcard

•

10th Grade - University

15 questions

7517 01 Programming Basics

Flashcard

•

10th Grade - University

11 questions

Review A2

Flashcard

•

10th Grade

Popular Resources on Wayground

10 questions

Honoring the Significance of Veterans Day

Interactive video

•

6th - 10th Grade

9 questions

FOREST Community of Caring

Lesson

•

1st - 5th Grade

10 questions

Exploring Veterans Day: Facts and Celebrations for Kids

Interactive video

•

6th - 10th Grade

19 questions

Veterans Day

Quiz

•

5th Grade

14 questions

General Technology Use Quiz

Quiz

•

8th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

15 questions

Circuits, Light Energy, and Forces

Quiz

•

5th Grade

19 questions

Thanksgiving Trivia

Quiz

•

6th Grade

Discover more resources for Mathematics

34 questions

Geometric Terms

Quiz

•

9th - 12th Grade

16 questions

Proportional Relationships And Constant Of Proportionality

Quiz

•

7th - 12th Grade

15 questions

Identify Triangle Congruence Criteria

Quiz

•

9th - 12th Grade

13 questions

Reading And Writing Numerical Expression

Quiz

•

6th - 12th Grade

56 questions

CCG 2.2.3 Area

Quiz

•

9th - 12th Grade

20 questions

SSS/SAS

Quiz

•

9th - 12th Grade

17 questions

Triangle Congruence Theorems

Quiz

•

9th - 11th Grade

15 questions

Analyze Triangle Congruence Conditions

Quiz

•

9th - 12th Grade