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17/10/2023

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Trigonometry

This transcript covers fundamental concepts of trigonometry, focusing on the relationships between sides and angles in right-angled triangles. It introduces trigonometric ratios and provides examples of solving problems using these ratios.

How to solve trigonometry problems step by step for beginners: The transcript outlines the basic principles of trigonometry, including the identification of sides in a right-angled triangle and the use of sine, cosine, and tangent ratios. It provides a step-by-step approach to solving trigonometric problems, making it easier for beginners to understand and apply these concepts.

Key points:

  • Identification of sides in a right-angled triangle (opposite, adjacent, hypotenuse)
  • Introduction to trigonometric ratios (sine, cosine, tangent)
  • Examples of problem-solving using trigonometric ratios
  • Common angle values for trigonometric functions

Highlight: The transcript emphasizes the importance of understanding the relationships between sides and angles in right-angled triangles as a foundation for solving trigonometric problems.

Vocabulary: Key terms introduced include hypotenuse, opposite, adjacent, sine, cosine, and tangent.

Example: The transcript provides several examples of solving trigonometric problems, including finding missing sides and angles in right-angled triangles.

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17/10/2023

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Trigonometry

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Jessie

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This transcript covers fundamental concepts of trigonometry, focusing on the relationships between sides and angles in right-angled triangles. It introduces trigonometric ratios and provides examples of solving problems using these ratios.

How to solve trigonometry problems step by step for... Show more

TRIGO NO MATRY 0 adjacent (a) side opposite right angle is a hypotenuse (longest side) -The side opposite the angle e is called the opposite

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Understanding Trigonometric Functions and Solving Problems

This page provides a comprehensive introduction to trigonometry, focusing on the fundamental concepts and problem-solving techniques for right-angled triangles. It covers the identification of sides, trigonometric ratios, and practical applications of these principles.

The page begins by defining the sides of a right-angled triangle:

Definition: In a right-angled triangle, the side opposite the right angle is called the hypotenuse and is always the longest side. The side opposite to the angle in question is called the opposite side, and the remaining side is called the adjacent side.

The trigonometric ratios are then introduced:

Highlight: The main trigonometric ratios are:

  • Sine sinsin = opposite / hypotenuse
  • Cosine coscos = adjacent / hypotenuse
  • Tangent tantan = opposite / adjacent

These ratios are often remembered using the mnemonic SOH-CAH-TOA.

The page provides several examples of how to solve trigonometric problems step by step for beginners. One such example demonstrates finding an angle using the cosine function:

Example: Given a triangle with a hypotenuse of 13cm and an adjacent side of 11cm, to find angle x:

  1. Identify the known sides and the ratio to use cosx=adjacent/hypotenusecos x = adjacent / hypotenuse
  2. Substitute the values: cos x = 11 / 13
  3. Take the inverse cosine arccosorcos−1arccos or cos^-1 of both sides
  4. Calculate: x = cos^-111/1311/13 ≈ 32.2°

The page also includes examples of how to solve trigonometric equations with sin and cos, demonstrating how to find missing sides in a triangle using these functions.

Highlight: When solving for a missing side, always ensure you're using the correct trigonometric ratio based on the given information and what you're trying to find.

The transcript concludes with a table of common angle values for sin, cos, tan functions, which is useful for quick calculations and understanding the behavior of these functions:

Example: Some common angle values include:

  • sin 30° = 1/2
  • cos 30° = √3/2
  • tan 30° = 1/√3
  • sin 45° = cos 45° = 1/√2
  • tan 45° = 1

This information provides a solid foundation for understanding trigonometric functions with examples and offers a practical guide for solving trigonometric equations step by step.

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Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

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This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

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very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

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This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

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