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Basic Trig Functions and Right Triangles Explained for Kids

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Basic Trig Functions and Right Triangles Explained for Kids
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Phoebe M

@nightshade.

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Here is the SEO-optimized summary in English:

Basic trigonometric functions explained for beginners: Trigonometry is a branch of mathematics that deals with relationships between the sides and angles of triangles. This guide covers the fundamental concepts of trigonometric functions, right triangles, and inverse trigonometric functions.

• The main trigonometric functions are sine, cosine, and tangent (SOH CAH TOA).
• Right triangles are essential in understanding trigonometric relationships.
• Inverse trigonometric functions are used to find missing angles in triangles.
• Examples and step-by-step solutions are provided to illustrate key concepts.

5/18/2023

26

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

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 (across from the angle)
  2. Adjacent side (next to the angle)
  3. Hypotenuse (longest 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 (X) in a right triangle with a 37° angle and a hypotenuse of 10.3 units: Sin(37°) = X / 10.3 X = 10.3 * Sin(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.

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

View

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 (Sin⁻¹ or arcsin)
  2. Inverse Cosine (Cos⁻¹ or arccos)
  3. Inverse Tangent (Tan⁻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⁻¹(θ) = opposite / hypotenuse • Cos⁻¹(θ) = adjacent / hypotenuse • Tan⁻¹(θ) = 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⁻¹(7/39) 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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Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

13 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Basic Trig Functions and Right Triangles Explained for Kids

user profile picture

Phoebe M

@nightshade.

·

1 Follower

Follow

Here is the SEO-optimized summary in English:

Basic trigonometric functions explained for beginners: Trigonometry is a branch of mathematics that deals with relationships between the sides and angles of triangles. This guide covers the fundamental concepts of trigonometric functions, right triangles, and inverse trigonometric functions.

• The main trigonometric functions are sine, cosine, and tangent (SOH CAH TOA).
• Right triangles are essential in understanding trigonometric relationships.
• Inverse trigonometric functions are used to find missing angles in triangles.
• Examples and step-by-step solutions are provided to illustrate key concepts.

5/18/2023

26

 

10th

 

Geometry

3

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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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 (across from the angle)
  2. Adjacent side (next to the angle)
  3. Hypotenuse (longest 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 (X) in a right triangle with a 37° angle and a hypotenuse of 10.3 units: Sin(37°) = X / 10.3 X = 10.3 * Sin(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.

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 content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

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 (Sin⁻¹ or arcsin)
  2. Inverse Cosine (Cos⁻¹ or arccos)
  3. Inverse Tangent (Tan⁻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⁻¹(θ) = opposite / hypotenuse • Cos⁻¹(θ) = adjacent / hypotenuse • Tan⁻¹(θ) = 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⁻¹(7/39) 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.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

13 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying