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
Learn how to solve geometry problems using visualization. Explore the steps involved in the visualization process and find examples of how to solve visualizing geometry problems.
2. How to Calculate the Volumes of Basic Shapes
The volume of a basic shape like a sphere is 4/3*pi*r^3 and the volume of a cube or prism is h(pi*r^2). Learn how to calculate the volumes of these other basic shapes with a series of examples.
3. Finding Distance with the Pythagorean Theorem
Learn how to find the distance between two points with the Pythagorean theorem. Explore the theorem using different examples, including the distance traveled to get ice cream, the distance of a skateboarding ramp, and the ~'Lion King~' peak.
4. Trigonometry: Sine and Cosine
Explore a useful method of memorizing the trigonometry functions sine and cosine. Learn a mnemonic method of memorizing the sine and cosine functions, including the tangent.
5. Trigonometry and the Pythagorean Theorem
The Pythagorean Theorem works best with trigonometric functions and right triangles, in particular. Learn about the three main trigonometric functions and their inverses, and then explore how to use them with the Pythagorean theorem to measure all sides of a right triangle.
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
The disk method in calculus is a means to finding the volume of a solid that has been created when the graph of a function is revolved about a line, usually the x or y axis. Learn more about it in this lesson.
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.
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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