Sin Cos Tan - Trigonometry

TL;DR

This video provides an introduction to trigonometry, explaining the basic concepts and terms related to right angle triangles and the trigonometric ratios.

Transcript

good day and welcome to the techmath channel what I'm going to be doing in this video is I'm going to be having a look at trigonometry okay this is the first video we're going to be having a look at uh trigonometry in a series I'm making right now um and so first off we're going to have a bit of a look at some different terms that we're going to be... Read More

Key Insights

• 🔺 Trigonometry is used to work out unknown side lengths or angles in right angle triangles.
• 🔺 Right angle triangles have three sides: hypotenuse, opposite, and adjacent.
• 🥳 The three main trigonometric ratios are sine, cosine, and tangent, which involve ratios of the sides of a right angle triangle.

Questions & Answers

Q: What is trigonometry and how is it useful?

Trigonometry is the measurement of triangles and it is useful in calculating unknown side lengths or angles in right angle triangles using specific ratios based on the given information.

Q: How can we label the sides of a right angle triangle in trigonometry?

In a right angle triangle, the longest side is called the hypotenuse, the side directly across from the angle being considered is called the opposite side, and the side next to the angle is called the adjacent side.

Q: What are the three main trigonometric ratios?

The three main trigonometric ratios are sine (opposite/hypotenuse), cosine (adjacent/hypotenuse), and tangent (opposite/adjacent).

Q: How can we remember the trigonometric ratios?

A commonly used mnemonic to remember the trigonometric ratios is "some old hags can't always hack their old age," where the first letter of each word corresponds to the first letter of each trigonometric ratio.

Summary & Key Takeaways

• Trigonometry is the measurement of triangles, specifically right angle triangles, and it allows us to work out unknown side lengths or angles using specific ratios.

• In a right angle triangle, the hypotenuse is the longest side, the opposite side is directly across from the angle being considered, and the adjacent side is next to the angle.

• There are three main trigonometric ratios: sine (opposite/hypotenuse), cosine (adjacent/hypotenuse), and tangent (opposite/adjacent).