# Ch 14: Introduction to Trigonometry: Tutoring Solution

### About This Chapter

## How it works:

- Begin your assignment or other high school geometry 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 geometry 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 understanding how to solve visualizing geometry problems, how to calculate the volume of basic shapes 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 geometry
- Don't have access to their math teacher outside of class

## Why it works:

**Engaging Tutors:**We make learning 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 geometry tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn 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:

- Translate complex geometry problems into simple, meaningful images.
- Calculate the volume of basic shapes.
- Use the Pythagorean Theorem to find distance.
- Learn an easy trick to solve trigonometry programs involving sine and cosine.
- Explore the special and simple relationships among specific trig functions.
- Find out how the Pythagorean Theorem can be used in conjunction with trig functions.
- Discuss how similarity with right triangles leads to trig ratios.
- Practice finding trigonometric ratios.
- Apply the laws of sines and cosines.

### 1. How to Solve Visualizing Geometry Problems

A picture is worth a thousand words, but sometimes drawing that picture can be like doing origami with your eyes closed. Practice translating complex problems into simple, meaningful images in this lesson.

### 2. How to Calculate the Volumes of Basic Shapes

Squares pegs = square holes. Triangular pegs = triangular holes. But where does a sphere go? In this lesson, review volumes of common shapes while contrasting a sphere and a cylinder - after all, they both go into the circular hole... right?

### 3. Finding Distance with the Pythagorean Theorem

How much faster is it to cut the corners in a race around the block? In this lesson, review the Pythagorean Theorem, and figure out how to solve without a right triangle.

### 4. Trigonometry: Sine and Cosine

Learn an easy trick to help you solve trigonometry problems, including problems with sine, cosine and inverse trig functions. At the end of this lesson, you'll know what SohCahToa means and how to use it.

### 5. List of the Basic Trig Identities

There are specific trig functions that have very special and very simple relationships with each other. Learn the main one and how you can use it to understand the others.

### 6. Trigonometry and the Pythagorean Theorem

Explore how the Pythagorean Theorem can be used in conjunction with trigonometric functions. In this lesson, take an inverse trigonometric function, and define all three sides of a right triangle.

### 7. Trigonometric Ratios and Similarity

Where do terms like sine, cosine and tangent come from? In this lesson, we'll learn about how similarity with right triangles leads to trigonometric ratios.

### 8. Practice Finding the Trigonometric Ratios

So you know what sine, cosine and tangent are. Great! But how do you use them? Find out how in this lesson as we find missing sides and angles using trigonometric ratios.

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

Don't get stuck trying to find missing sides or angles in a triangle. Use the Law of Sines to rescue you from any perilous triangle in which you have just a few pieces of information.

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

In this lesson, we'll learn how to solve problems involving three sides and one angle in a triangle. The Law of Cosines, a modification of the Pythagorean Theorem, will save the day.

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### Other Chapters

Other chapters within the High School Geometry: Tutoring Solution course

- Foundations of Geometry: Tutoring Solution
- Logic in Mathematics: Tutoring Solution
- Introduction to Geometric Figures: Tutoring Solution
- Properties of Triangles: Tutoring Solution
- Triangles, Theorems and Proofs: Tutoring Solution
- Parallel Lines and Polygons: Tutoring Solution
- Similar Polygons: Tutoring Solution
- Quadrilaterals: Tutoring Solution
- Symmetry, Similarity and Congruence
- Circular Arcs and Circles: Tutoring Solution
- Conic Sections: Tutoring Solution
- Geometric Solids: Tutoring Solution
- Analytical Geometry: Tutoring Solution