# Ch 3: Geometry and Trigonometry in Calculus: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering college calculus material will benefit from taking this course. There is no faster or easier way to learn college calculus. Among those who would benefit are:

- Students who have fallen behind in understanding geometry or working with trigonometry in calculus
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about geometry and trigonometry in calculus
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How it works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Geometry and Trigonometry in Calculus chapter exam.

## Why it works:

**Study Efficiently**: Skip what you know, review what you don't.**Retain What You Learn**: Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day**: Use the Geometry and Trigonometry in Calculus chapter exam to be prepared.**Get Extra Support**: Ask our subject-matter experts any geometry or trig in calculus question. They're here to help!**Study With Flexibility**: Watch videos on any web-ready device.

## Students will review:

In this chapter, you'll learn the answers to questions including:

- What are the steps involved in solving visualizing geometry problems?
- How do I find the volume of a basic shape?
- How do I use the Pythagorean Theorem to calculate distance?
- What does SohCahToa mean, and how is it used to solve trigonometry problems?
- How can I use the Pythagorean Theorem and trigonometric functions together?

### 1. How to Solve Visualizing Geometry Problems

Visualizing geometry problems involves knowing the expected results, and identifying the important pieces of information to make sure all the mathematical details match the word problem. See several examples of how to solve these problems correctly.

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

The basic formula for volume is length * width * height and is necessary in geometry and the science of understanding mass in the form of basic shapes. Learn more about how to calculate the volumes of basic shapes and use the methodologies.

### 3. Finding Distance with the Pythagorean Theorem

The Pythagorean theorem outlines principles for right triangles, but it can also be used to calculate distance between points. Learn how this theorem is applied to practical examples of ice cream, skateboard ramps, and even the cliff-peak in 'The Lion King.'

### 4. Trigonometry: Sine and Cosine

Sine and cosine are basic trigonometric functions that are used to solve for the angles and sides of triangles. Review trigonometry concepts and learn about the mnemonic used for sine, cosine, and tangent functions.

### 5. Trigonometry and the Pythagorean Theorem

The SohCahToa and the Pythagorean Theorem are two rules for finding equations in trigonometry. Learn more about the definitions of the SohCahToa and the Pythagorean Theorem, understand how they work, and how to use them in calculus.

### 6. Trigonometric Functions: Definition & Examples

There are six main trigonometric functions. Understand the definition and the main trigonometric functions, explore real-world examples, and how to solve problems.

### 7. Disk Method in Calculus: Formula & Examples

In calculus, the disk method is used to calculate the volume of a solid of revolution using small cylinders or disks. Understand the formula of the disk method and learn how to use this method through the given examples.

### 8. The Geometry of Space: Definition, Uses, and Examples

Knowing the geometry of objects and things in the real world is a very useful skill. Architects use geometry to aid them in designing buildings and cities that work. Engineers use geometry to build working components in a bigger machine.

### Earning College Credit

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### Other Chapters

Other chapters within the Calculus: Help and Review course

- Graphing and Functions: Help and Review
- Continuity in Calculus: Help and Review
- Using Scientific Calculators in Calculus: Help and Review
- Limits in Calculus: Help and Review
- Rate of Change in Calculus: Help and Review
- Calculating Derivatives and Derivative Rules: Help and Review
- Graphing Derivatives and L'Hopital's Rule: Help and Review
- Applications of Derivatives: Help and Review
- Area Under the Curve and Integrals: Help and Review
- Integration and Integration Techniques: Help and Review
- Integration Applications: Help and Review
- Differential Equations: Help and Review