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15
0
lay
08/10/2025
Maths
Trigonometry, Pythagoras, Frequency Trees and Drawing Linear Graphs -Foundation
328
•
8 Oct 2025
•
lay
@www.soul.net
This transcript covers topics in trigonometry, Pythagoras theorem, angles in... Show more
SOHCAHTOA is a mnemonic device used to remember the trigonometric ratios in right-angled triangles. This page demonstrates how to apply these ratios to solve various problems.
Definition: SOHCAHTOA stands for Sine = Opposite / Hypotenuse, Cosine = Adjacent / Hypotenuse, Tangent = Opposite / Adjacent.
The page shows several examples of using SOHCAHTOA to find unknown lengths and angles in right-angled triangles. For instance, one problem involves finding the length of a side using the sine function:
Example: Sin = x / 20, where x is the opposite side and 20 is the hypotenuse. Solving this equation gives x ≈ 11.7 cm.
Another example demonstrates the use of the tangent function:
Example: tan = x / 11, where x is the opposite side and 11 is the adjacent side. The solution is x ≈ 9.9 cm.
The page also includes a problem using the cosine function to find an angle:
Example: cos = 11 / 16, where x is the unknown angle. Using the inverse cosine function, we find x ≈ 46.4°.
These examples highlight the practical application of SOHCAHTOA in solving trigonometry pythagoras foundation exam questions.
This page covers two important geometric concepts: the Pythagoras theorem and angles in parallel lines.
The Pythagoras theorem is used to find unknown side lengths in right-angled triangles.
Definition: In a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides .
An example problem demonstrates how to use the theorem:
Example: In a right-angled triangle with sides 36 cm and 48 cm, the hypotenuse is calculated as √ ≈ 60 cm.
The page also covers angles in parallel lines, showing how to determine unknown angles based on the properties of parallel lines intersected by a transversal.
Highlight: Vertically opposite angles are equal, and alternate angles are equal in parallel lines.
These concepts are essential for solving combined Pythagoras and trigonometry exam questions and are frequently found in Pythagoras and trigonometry exam questions GCSE.
SOHCAHTOA and the Pythagoras theorem are fundamental concepts in trigonometry and geometry, crucial for solving problems involving triangles and angles. This guide covers these topics along with related concepts such as angles in parallel lines and frequency trees.
Key points:
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
App Store
Google Play
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
iOS user
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
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
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.
Basil
Android user
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.
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
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.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
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
Paul T
iOS user
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
iOS user
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
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
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.
Basil
Android user
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.
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
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.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
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
Paul T
iOS user
lay
@www.soul.net
This transcript covers topics in trigonometry, Pythagoras theorem, angles in parallel lines, and frequency trees. It includes various mathematical problems and their solutions, focusing on SOHCAHTOA, Pythagoras theorem applications, and basic probability concepts.
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SOHCAHTOA is a mnemonic device used to remember the trigonometric ratios in right-angled triangles. This page demonstrates how to apply these ratios to solve various problems.
Definition: SOHCAHTOA stands for Sine = Opposite / Hypotenuse, Cosine = Adjacent / Hypotenuse, Tangent = Opposite / Adjacent.
The page shows several examples of using SOHCAHTOA to find unknown lengths and angles in right-angled triangles. For instance, one problem involves finding the length of a side using the sine function:
Example: Sin = x / 20, where x is the opposite side and 20 is the hypotenuse. Solving this equation gives x ≈ 11.7 cm.
Another example demonstrates the use of the tangent function:
Example: tan = x / 11, where x is the opposite side and 11 is the adjacent side. The solution is x ≈ 9.9 cm.
The page also includes a problem using the cosine function to find an angle:
Example: cos = 11 / 16, where x is the unknown angle. Using the inverse cosine function, we find x ≈ 46.4°.
These examples highlight the practical application of SOHCAHTOA in solving trigonometry pythagoras foundation exam questions.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page covers two important geometric concepts: the Pythagoras theorem and angles in parallel lines.
The Pythagoras theorem is used to find unknown side lengths in right-angled triangles.
Definition: In a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides .
An example problem demonstrates how to use the theorem:
Example: In a right-angled triangle with sides 36 cm and 48 cm, the hypotenuse is calculated as √ ≈ 60 cm.
The page also covers angles in parallel lines, showing how to determine unknown angles based on the properties of parallel lines intersected by a transversal.
Highlight: Vertically opposite angles are equal, and alternate angles are equal in parallel lines.
These concepts are essential for solving combined Pythagoras and trigonometry exam questions and are frequently found in Pythagoras and trigonometry exam questions GCSE.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
SOHCAHTOA and the Pythagoras theorem are fundamental concepts in trigonometry and geometry, crucial for solving problems involving triangles and angles. This guide covers these topics along with related concepts such as angles in parallel lines and frequency trees.
Key points:
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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Explore the fundamentals of trigonometry, including key concepts like SOH CAH TOA, trigonometric ratios, and how to find missing sides and angles in right triangles. This summary provides step-by-step methods for solving trigonometric problems, making it ideal for students seeking to enhance their understanding of trigonometric functions and calculations.
MathsExplore key concepts in trigonometry and statistics, including the law of sines, law of cosines, area of triangles, standard deviation, and percentage calculations. This comprehensive summary is designed for National 5 Maths students, providing clear formulas and examples to enhance understanding and application of these essential topics.
MathsExplore essential non-calculator trigonometry concepts for National 5 Maths. This resource covers trigonometric ratios, area calculations, and key formulas with worked examples to enhance your understanding. Perfect for mastering triangle problems without a calculator.
MathsExplore the fundamental concepts of trigonometry, including the Pythagorean theorem, definitions of adjacent, opposite, and hypotenuse sides, and key trigonometric ratios (sine, cosine, tangent) for right triangles. This summary is essential for understanding the relationships between angles and side lengths in trigonometry.
MathsExplore key concepts in trigonometry and quadratic functions, including the area of triangles, sine and cosine rules, bearings, and the properties of quadratic graphs. This summary covers essential formulas and problem-solving techniques for evaluating functions and understanding the nature of quadratic equations.
MathsExplore the properties of interior and exterior angles in polygons. Learn how to calculate the sum of interior angles using the formula (n-2) x 180° and understand the relationship between interior and exterior angles. This summary covers triangles, quadrilaterals, pentagons, and hexagons, providing essential insights for geometry students.
MathsApp Store
Google Play
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
iOS user
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
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
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.
Basil
Android user
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.
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
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.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
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
Paul T
iOS user
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
iOS user
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
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
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.
Basil
Android user
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.
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
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.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
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
Paul T
iOS user
