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Basic Trig Functions and Right Triangles Explained for Kids

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Phoebe M

5/18/2023

Geometry

Trig Function

Basic Trig Functions and Right Triangles Explained for Kids

This comprehensive guide explains soh cah toa explained in geometry, understanding inverse trig functions, and the basics of right triangle parts and trig functions. It covers trigonometric functions, their applications in right triangles, and inverse trigonometric functions for solving missing angles.

  • Introduces the parts of a right triangle: opposite, adjacent, and hypotenuse
  • Explains the basic trigonometric functions: sine, cosine, and tangent
  • Demonstrates how to use SOH CAH TOA to solve for missing sides in right triangles
  • Covers inverse trigonometric functions for finding missing angles
  • Provides examples and calculations for both direct and inverse trigonometric problems
...

5/18/2023

30

adjacent
Geometry
TRIG FUNCTIONS RESOURCE PAGE
Ꮎ
the taor
angle
hypotenuse
opposite
10.3
370
Sin (37) X
10.3
X=10.3.Sin (37
X=6.2 units
sine

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Inverse Trigonometric Functions

This page focuses on inverse trigonometric functions, which are essential when solving for missing angles in right triangles. It explains how to use these functions and provides practical examples.

Definition: Inverse trigonometric functions, also known as arcfunctions, are used to find an angle when given a trigonometric ratio.

The three main inverse trigonometric functions are:

  1. Inverse Sine Sin1orarcsinSin⁻¹ or arcsin
  2. Inverse Cosine Cos1orarccosCos⁻¹ or arccos
  3. Inverse Tangent Tan1orarctanTan⁻¹ or arctan

Highlight: When using a calculator for inverse trig functions, look for the "second function" or "shift" key to access these operations.

The page provides formulas for each inverse function: • Sin⁻¹θθ = opposite / hypotenuse • Cos⁻¹θθ = adjacent / hypotenuse • Tan⁻¹θθ = opposite / adjacent

Example: To find a missing angle in a right triangle with an opposite side of 7 and a hypotenuse of 39: θ = Sin⁻¹7/397/39 θ ≈ 15°

The page includes additional examples for inverse cosine and inverse tangent, demonstrating how to use inverse trig functions step by step.

Vocabulary: Hypotenuse - The longest side of a right triangle, opposite the right angle.

These examples illustrate how to apply inverse trigonometric functions to solve for missing angles in right triangles, which is a fundamental skill in trigonometry and has applications in various fields such as physics, engineering, and navigation.

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Geometry

30

May 18, 2023

2 pages

Basic Trig Functions and Right Triangles Explained for Kids

user profile picture

Phoebe M

@nightshade.

This comprehensive guide explains soh cah toa explained in geometry, understanding inverse trig functions, and the basics of right triangle parts and trig functions. It covers trigonometric functions, their applications in right triangles, and inverse trigonometric functions... Show more

adjacent
Geometry
TRIG FUNCTIONS RESOURCE PAGE
Ꮎ
the taor
angle
hypotenuse
opposite
10.3
370
Sin (37) X
10.3
X=10.3.Sin (37
X=6.2 units
sine

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Inverse Trigonometric Functions

This page focuses on inverse trigonometric functions, which are essential when solving for missing angles in right triangles. It explains how to use these functions and provides practical examples.

Definition: Inverse trigonometric functions, also known as arcfunctions, are used to find an angle when given a trigonometric ratio.

The three main inverse trigonometric functions are:

  1. Inverse Sine Sin1orarcsinSin⁻¹ or arcsin
  2. Inverse Cosine Cos1orarccosCos⁻¹ or arccos
  3. Inverse Tangent Tan1orarctanTan⁻¹ or arctan

Highlight: When using a calculator for inverse trig functions, look for the "second function" or "shift" key to access these operations.

The page provides formulas for each inverse function: • Sin⁻¹θθ = opposite / hypotenuse • Cos⁻¹θθ = adjacent / hypotenuse • Tan⁻¹θθ = opposite / adjacent

Example: To find a missing angle in a right triangle with an opposite side of 7 and a hypotenuse of 39: θ = Sin⁻¹7/397/39 θ ≈ 15°

The page includes additional examples for inverse cosine and inverse tangent, demonstrating how to use inverse trig functions step by step.

Vocabulary: Hypotenuse - The longest side of a right triangle, opposite the right angle.

These examples illustrate how to apply inverse trigonometric functions to solve for missing angles in right triangles, which is a fundamental skill in trigonometry and has applications in various fields such as physics, engineering, and navigation.

adjacent
Geometry
TRIG FUNCTIONS RESOURCE PAGE
Ꮎ
the taor
angle
hypotenuse
opposite
10.3
370
Sin (37) X
10.3
X=10.3.Sin (37
X=6.2 units
sine

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Parts of a Right Triangle and Basic Trigonometric Functions

This page introduces the fundamental components of a right triangle and the basic trigonometric functions. It provides a clear visual representation of a right triangle, labeling its parts and explaining the relationships between them.

The three main parts of a right triangle are:

  1. Opposite side acrossfromtheangleacross from the angle
  2. Adjacent side nexttotheanglenext to the angle
  3. Hypotenuse longestside,acrossfromtherightanglelongest side, across from the right angle

Vocabulary: SOH CAH TOA - A mnemonic device used to remember the basic trigonometric functions: • Sine = Opposite / Hypotenuse • Cosine = Adjacent / Hypotenuse • Tangent = Opposite / Adjacent

The page also includes examples of how to use these basic trig functions explained with examples. For instance:

Example: To find the length of the opposite side XX in a right triangle with a 37° angle and a hypotenuse of 10.3 units: Sin37°37° = X / 10.3 X = 10.3 * Sin37°37° X ≈ 6.2 units

Similar examples are provided for cosine and tangent functions, demonstrating how to calculate missing sides in a right triangle using trigonometric functions examples with solution.

Highlight: Understanding these basic trigonometric functions and their relationships to the parts of a right triangle is crucial for solving more complex trigonometry problems and applications in real-world scenarios.

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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

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This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

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Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

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Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

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Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user