If $$\text{sin}(x) = \frac{12}{13}$$ and $$\frac{\text{pi}}{2}

$$\text{tan}(2x) = \frac{120}{119}$$

If $$\text{csc}(\theta) = -\text{sqrt}(26)$$ and $$270^\text{o}

$$\text{tan}igg(\frac{\theta}{2}igg) = -\text{sqrt}(26) + 5$$

If $$\text{cos}(\theta) = \frac{4}{5}$$ and $$\frac{3\text{pi}}{2}

$$\text{sin}(2\theta) = -\frac{24}{25}$$

What is the relationship between sine and cosine in the context of double-angle identities?

$$\text{sin}(2x) = 2\text{sin}(x)\text{cos}(x)$$

What is the relationship between tangent and sine/cosine?

$$\text{tan}(x) = \frac{\text{sin}(x)}{\text{cos}(x)}$$

State the Pythagorean Identity for sine and cosine.

$$\text{sin}^2(x) + \text{cos}^2(x) = 1$$

What is the formula for Tangent of Half Angle?

$$\text{tan}igg(\frac{x}{2}igg) = \frac{1 - \text{cos}(x)}{\text{sin}(x)} = \frac{\text{sin}(x)}{1 + \text{cos}(x)}$$

Explain how to derive the Double-Angle Identity for Sine from the Sum of Angles Identity.

$$\text{sin}(2x) = \text{sin}(x + x) = \text{sin}(x)\text{cos}(x) + \text{cos}(x)\text{sin}(x) = 2\text{sin}(x)\text{cos}(x)$$

Resource Library

Math

Trigonometry

Double And Half Angle Identities

Him 3 Double Angle And Half Angle Identities

HIM 3 Double-Angle and Half Angle Identities

Flashcard

•

Mathematics

•

12th Grade

•

Practice Problem

•

Hard

Wayground Content

FREE Resource

Student preview

15 questions

Show all answers

FLASHCARD QUESTION

Front

Define the Double-Angle Identity for Sine.

Back

FLASHCARD QUESTION

Front

Define the Double-Angle Identity for Cosine.

Back

FLASHCARD QUESTION

Front

Define the Half-Angle Identity for Sine.

Back

FLASHCARD QUESTION

Front

Define the Half-Angle Identity for Cosine.

Back

FLASHCARD QUESTION

Front

What is the formula for Tangent of Double Angle?

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

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

15 questions

Fall 2024 Final

Flashcard

•

12th Grade

15 questions

3/20: Trig Graphs Intro

Flashcard

•

11th - 12th Grade

15 questions

10/28 Trigonometric Identities

Flashcard

•

11th - 12th Grade

15 questions

Solving Trig Equations (factoring)

Flashcard

•

11th - 12th Grade

15 questions

Sine and Cosine - Amplitude and Period

Flashcard

•

11th - 12th Grade

15 questions

McLain Trig. Identities

Flashcard

•

11th - 12th Grade

15 questions

STUDY GUIDE-TRIG IDS

Flashcard

•

12th Grade

15 questions

Unit Circle & Trig Functions

Flashcard

•

12th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

10 questions

Probability Practice

Quiz

•

4th Grade

15 questions

Probability on Number LIne

Quiz

•

4th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

6 questions

Appropriate Chromebook Usage

Lesson

•

7th Grade

10 questions

Greek Bases tele and phon

Quiz

•

6th - 8th Grade

Discover more resources for Mathematics

23 questions

TSI Math Vocabulary

Quiz

•

10th - 12th Grade

20 questions

SSS/SAS

Quiz

•

9th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems Practice

Quiz

•

9th - 12th Grade

20 questions

9.1 & 9.2 Exponential Growth and Decay

Quiz

•

12th Grade

13 questions

Identify Transformations in Geometry

Quiz

•

8th - 12th Grade

20 questions

Quadratic Transformations Review

Quiz

•

9th - 12th Grade

10 questions

Naming Angles Formed By Two Lines And A Transversal

Quiz

•

8th - 12th Grade

10 questions

Intro to Rational Graphs

Quiz

•

9th - 12th Grade