Trigonometry review

TL;DR

A brief overview of trigonometry concepts, including the definitions of sine, cosine, and tangent, and the measurement of angles in degrees and radians.

Transcript

• [Voiceover] I want to do a quick overview of trigonometry, and aspects of trig functions that are important to us as electrical engineers. So this isn't meant to be a full class on trigonometry. If you haven't had this subject before, this is something you can study on Khan Academy, and Sal does a lot of good videos on trig functions and how they... Read More

Key Insights

• ❓ Trigonometry is a fundamental mathematical concept essential for electrical engineers.
• 👨‍💼 The Soh Cah Toa phrase helps in memorizing the definitions of sine, cosine, and tangent.
• 🧡 Degrees and radians are two different ways to measure angles, each with its own range.
• ❓ The tangent function is closely related to the concept of slope.
• 🤨 The conversion between degrees and radians is 180 degrees equals pi radians.

Questions & Answers

Q: What is the significance of studying trigonometry for electrical engineers?

Trigonometry is valuable in electrical engineering for understanding the behavior of sinusoidal signals, calculating AC circuit parameters, and analyzing electrical waves.

Q: How does the Soh Cah Toa phrase help in remembering trigonometric functions?

The Soh Cah Toa phrase provides a mnemonic device to remember that sine represents the ratio of the opposite side to the hypotenuse, cosine represents the adjacent side to the hypotenuse, and tangent represents the opposite side to the adjacent side.

Q: What are the two ways to measure angles?

Angles can be measured in degrees, ranging from 0 to 360, or radians, ranging from 0 to 2 pi. Degrees are denoted by the degree symbol (°), while radians do not have a degree mark.

Q: How does the tangent function relate to slope?

The tangent of an angle is equal to the ratio of the rise (opposite side) to the run (adjacent side) of a right triangle. This ratio is equivalent to the slope of a line passing through the origin and intersecting that point on the unit circle.

Summary & Key Takeaways

• Trigonometry is important for electrical engineers and can be studied on Khan Academy.

• The Soh Cah Toa phrase is used to remember the definitions of sine, cosine, and tangent.

• Angles can be measured in degrees (0 to 360) or radians (0 to 2 pi).