What is the first step in solving the equation $$\tan x \tan^2x = 2\tan x$$ ?

Subtract $$2\tan x$$ from both sides and then factor out $$\tan x$$ .

How do you solve the equation $$\frac{\tan x}{\tan^2x} = 2$$ ?

Multiply both sides by $$\tan^2x$$ to eliminate the fraction.

What is the process to solve $$\frac{1 - \tan^2x}{1 + \tan^2x} = 0$$ ?

Set the numerator equal to zero: $$1 - \tan^2x = 0$$ .

What is the general solution for $$\tan x = k$$ ?

The general solution is $$x = \tan^{-1}(k) + n\frac{\text{π}}{2}$$ , where n is any integer.

What is the significance of the unit circle in trigonometry?

The unit circle helps define the sine and cosine functions as the y and x coordinates of points on the circle.

What is the formula for the sine of a sum of angles?

The formula is $$\text{sin}(a + b) = \text{sin}a \text{cos}b + \text{cos}a \text{sin}b$$ .

What is the formula for the cosine of a sum of angles?

The formula is $$\text{cos}(a + b) = \text{cos}a \text{cos}b - \text{sin}a \text{sin}b$$ .

What is the first step in solving $$2\text{cos}^2x - 3\text{cos}x = 0$$ ?

Factor the equation: $$\text{cos}x(2\text{cos}x - 3) = 0$$ .

What is the solution set for $$\text{sin}x = 0$$ in the interval [0, 2π)?

The solution set is $$x = \text{0, π}$$ .

What is the process to solve $$1 - \text{sin}^2x + \text{sin}x = 1$$ ?

Set the equation equal to zero and factor out the GCF.

U7L3: Solving Trig Equations Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the range of the sine function?

Back

The range of the sine function is [-1, 1].

2.

FLASHCARD QUESTION

Front

What is the range of the cosine function?

Back

The range of the cosine function is [-1, 1].

3.

FLASHCARD QUESTION

Front

What is the Pythagorean identity for sine and cosine?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What does it mean to set an equation equal to zero?

Back

Setting an equation equal to zero is a common step in solving equations, allowing for factoring or applying the zero product property.

7.

FLASHCARD QUESTION

Front

What is the zero product property?

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

11 questions

Climate Change and Its Causes

Flashcard

•

KG

15 questions

Anatomy Review

Flashcard

•

12th Grade

10 questions

Essential Statistics Concepts

Flashcard

•

12th Grade

10 questions

R2.3 How Far? Le Chatelier's Principle

Flashcard

•

12th Grade

10 questions

High Note 2. Unit 1. Test your vocabulary

Flashcard

•

10th Grade

11 questions

Memoriter_1

Flashcard

•

12th Grade

15 questions

Function Flashcard

Flashcard

•

8th - 12th Grade

Popular Resources on Wayground

7 questions

History of Valentine's Day

Interactive video

•

4th Grade

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

15 questions

Valentine's Day Trivia

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

Discover more resources for Mathematics

10 questions

Factor Quadratic Expressions with Various Coefficients

Quiz

•

9th - 12th Grade

10 questions

Elijah McCoy: Innovations and Impact in Black History

Interactive video

•

6th - 10th Grade

10 questions

Evaluating Piecewise Functions Practice

Quiz

•

11th Grade

5 questions

Triangle Congruence Theorems

Interactive video

•

9th - 12th Grade

15 questions

Module 3 Topic 1 Vocabulary Quiz

Quiz

•

10th Grade

16 questions

Circle Vocabulary

Quiz

•

9th - 10th Grade

15 questions

Exponential Growth and Decay Word Problems Practice

Quiz

•

9th - 12th Grade

10 questions

Multiplying Fractions with Area Models

Interactive video

•

6th - 10th Grade