# Ch 26: Algebra II - Trigonometry: Tutoring Solution

### About This Chapter

## How it works:

- Begin your assignment or other high school algebra II work.
- Identify the trigonometry concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our high school algebra II tutoring solution will benefit any student who is trying to learn trigonometry and earn better grades. This resource can help students including those who:

- Struggle with sine and cosine transformations, tangent function graphs, unit circles, trig identities, double angle formula or any other trigonometry topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning math visually
- Find themselves failing or close to failing their trigonometry unit
- Cope with ADD or ADHD
- Want to get ahead in high school algebra II
- Don't have access to their math teacher outside of class

## Why it works:

**Engaging Tutors:**We make learning about trigonometry simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live algebra II tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about trigonometry on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning Objectives

- Graph sine and cosine transformations.
- Graph tangent functions.
- Memorize the first quadrant of the unit circle.
- Use the unit circle to relate right triangles to sine and cosine.
- List the properties of special right triangles.
- Become familiar with the law of sines and law of cosines.
- Understand the applications of the double angle formula.
- Convert between radians and degrees and vice versa.
- Solve trigonometric equations for x.
- Name the basic trigonometric identities.

### 1. Graphing Sine and Cosine Transformations

The sine and cosine signal waveforms, or waves, can be transformed in multiple ways. Learn how to identify the three types of sine and cosine transformations, including amplitude, period, and phase shift, and practice graphing the transformations with sample problems.

### 2. Graphing the Tangent Function: Amplitude, Period, Phase Shift & Vertical Shift

Unlike other trigonometric functions, a tangent function can be transformed in four different ways. Learn how to graph the tangent function and to visualize and change the amplitude, period, phase shift, and vertical shift of a tangent function.

### 3. Unit Circle: Memorizing the First Quadrant

Memorizing the unit circle allows for calculation of its angles' trigonometric values without a calculator. Explore and memorize the unit circle's first quadrant, including its main points, and its sine, cosine, and tangent values.

### 4. Using Unit Circles to Relate Right Triangles to Sine & Cosine

A unit circle is a circle with a radius of 1, and a right triangle is a triangle with one right angle. Learn the trigonometric properties of right triangles and how to use unit circles to relate right triangles to sine and cosine.

### 5. Special Right Triangles: Types and Properties

There are two types of special right triangles that have either 30-60-90 degree angles or 45-45-90 degree angles. Learn more about the definitions and explore the properties of 30-60-90 and 45-45-90 degree angles of special right triangles through examples.

### 6. Law of Sines: Definition and Application

Law of Sines, also known as sine law or sine rule, is an equation relating the sines of the three angles of a triangle to its three sides. Learn about the definition of the Law of Sines and understand how to apply it by completing math problems involving triangles.

### 7. Law of Cosines: Definition and Application

The law of cosines is an equation that considers the two known sides of a triangle and the cosine of one of its known angles to find the one missing side. Explore the definition and application of the law of cosines and learn how to solve problems involving triangles through the given practice problems.

### 8. The Double Angle Formula

In trigonometry, a double angle is twice as large as a common angle. Learn how to calculate the double angle formula, explore trigonometry twins for sine, cosine, and tangent, and apply this information in practice problems using the double angle formula.

### 9. Converting Between Radians and Degrees

The two most widely used units of measure for angles are degrees and radians. Learn how to convert radians to degrees and degrees to radians using the concepts of proportion and priority.

### 10. How to Solve Trigonometric Equations for X

Trigonometric functions can be simplified using their inverses and their angles can be solved within their restricted domains. Learn how to solve trigonometric equations for x using inverse operations and based on trigonometric restrictions.

### 11. List of the Basic Trig Identities

The fundamental trigonometric identities are equations applicable to triangles with a right angle. Discover the trigonometric identities established using sine, cosine, tangent, cotangent, secant, and cosecant functions, and learn their use and applications.

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### Other Chapters

Other chapters within the High School Algebra II: Tutoring Solution course

- Algebra II - Basic Arithmetic Review: Tutoring Solution
- Algebra II - Algebraic Expressions and Equations Review: Tutoring Solution
- Algebra II - Real Numbers: Tutoring Solution
- Algebra II - Complex and Imaginary Numbers Review: Tutoring Solution
- Algebra II - Exponents and Exponential Expressions Review: Tutoring Solution
- Algebra II - Properties of Functions Review: Tutoring Solution
- Algebra II - Linear Equations Review: Tutoring Solution
- Algebra II - Systems of Linear Equations: Tutoring Solution
- Algebra II - Inequalities Review: Tutoring Solution
- Algebra II - Matrices and Determinants: Tutoring Solution
- Algebra II - Absolute Value Review: Tutoring Solution
- Algebra II - Polynomials: Tutoring Solution
- Algebra II - Factoring: Tutoring Solution
- Algebra II - Graphing and Factoring Quadratic Equations Review: Tutoring Solution
- Algebra II - Rational Expressions: Tutoring Solution
- Algebra II - Graphing and Functions: Tutoring Solution
- Algebra II - Roots and Radical Expressions Review: Tutoring Solution
- Algebra II - Quadratic Equations: Tutoring Solution
- Algebra II - Exponential and Logarithmic Functions: Tutoring Solution
- Algebra II - Conic Sections: Tutoring Solution
- Algebra II - Sequences and Series: Tutoring Solution
- Algebra II - Sets: Tutoring Solution
- Algebra II - Combinatorics: Tutoring Solution
- Algebra II - Calculations, Ratios, Percent & Proportions Review: Tutoring Solution
- Algebra II - Statistics: Tutoring Solution