Trigonometry made easy

TL;DR

Trigonometry is a branch of mathematics that studies the relationships between the sides of a right angle triangle and the angles within it, allowing us to calculate unknown side lengths and angles using specific ratios.

Transcript

gday welcome to the tech math Channel what we're going to be having a look at in this video is trigonometry so sit back and learn all about it and if you like the video please remember hit the like button beneath the video there and subscribe to the techmath channel so trigonometry deals with this particular shape here a right angle triangle and wh... Read More

Key Insights

• 🔺 Trigonometry studies the relationships between the sides and angles of a right angle triangle.
• 👨‍💼 The three main trigonometric functions are sine, cosine, and tangent.
• 🥳 Trigonometry allows us to calculate unknown side lengths or angles using specific ratios.

Questions & Answers

Q: What is trigonometry and how does it work?

Trigonometry is a branch of mathematics that focuses on the relationships between the sides and angles of a right angle triangle. It allows us to calculate unknown side lengths or angles using specific ratios called trigonometric functions.

Q: What are the three main trigonometric functions?

The three main trigonometric functions are sine, cosine, and tangent. Sine relates the ratio of the opposite side to the hypotenuse, cosine relates the ratio of the adjacent side to the hypotenuse, and tangent relates the ratio of the opposite side to the adjacent side.

Q: How do we solve trigonometric equations?

To solve a trigonometric equation, we first label the unknown sides of a right angle triangle. Then, we determine which trigonometric function to use based on the given information. We substitute the known values into the trigonometric function, manipulate the equation to solve for the unknown, and use a calculator for calculations if necessary.

Q: Can trigonometry be used to find unknown angles?

Yes, trigonometry can be used to find unknown angles. By knowing the ratios of the sides in a right angle triangle, we can use inverse trigonometric functions to calculate the angles corresponding to those ratios.

Summary & Key Takeaways

• Trigonometry deals with the relationships between the sides and angles of a right angle triangle.

• It allows us to calculate unknown side lengths or angles using specific ratios.

• The three main trigonometric functions are sine, cosine, and tangent, which relate the ratios of the sides in a right angle triangle.