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Updated Mar 20, 2026
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Fun GCSE Trigonometry Practice: SOHCAHTOA and More!
Simran
@simran_task
1 / 8
Page 2: Basic Trigonometric Calculations
This page introduces fundamental Step-by-step trigonometry solutions GCSE with two starter problems focusing on sine and tangent ratios.
Example: Question 1 demonstrates finding a hypotenuse using sine ratio with Sin 35° = 20/x, resulting in x = 34.9
Vocabulary: Opposite - The side opposite to the angle in question Adjacent - The side adjacent to the angle in question Hypotenuse - The longest side of a right-angled triangle
Page 3: Intermediate Angle Calculations
This section progresses to more complex calculations involving inverse trigonometric functions.
Example: Question 3 uses inverse cosine (cos⁻¹) to find an angle where cos θ = 16/24
Highlight: Both questions on this page require understanding of inverse trigonometric functions to find angles rather than sides.
Page 4: Length Calculations
This page focuses on calculating unknown side lengths using trigonometric ratios.
Definition: Tangent ratio is used when working with opposite and adjacent sides (TOA in SOHCAHTOA)
Example: Question 5 uses tan 35° to find a length of 14.0 units
Page 5: Angle Calculations
These questions focus on determining unknown angles using inverse trigonometric functions.
Highlight: Question 7 demonstrates the use of inverse sine (sin⁻¹) to find an angle of 18.2°
Example: Question 8 uses inverse tangent to calculate an angle of 60.9°
Page 6: Complex Triangle Problems
This page introduces more sophisticated problems involving multiple steps.
Example: Question 9 requires finding an angle in a complex shape involving multiple right triangles
Highlight: The solution requires breaking down the problem into manageable steps using basic trigonometric ratios
Page 7: Advanced Length Calculations
This section presents more challenging problems requiring multiple steps and precise calculations.
Example: Question 10 involves using the Pythagorean theorem alongside trigonometric ratios
Highlight: Solutions must be given to 1 decimal place, emphasizing the importance of accuracy
Page 8: Final Complex Problem
The worksheet concludes with the most challenging question requiring multiple steps and careful analysis.
Example: Question 11 involves finding an angle in a complex triangle setup using multiple trigonometric calculations
Highlight: The final answer must be given to 1 decimal place (41.8°)
Page 1: Introduction and Instructions
This page outlines the essential guidelines for approaching these SOHCAHTOA exam problems worksheet. The document is designed for GCSE (1-9) mathematics students.
Highlight: Students must use black ink or ball-point pen and show all working out.
Definition: SOHCAHTOA is a mnemonic device used to remember the relationships between angles and sides in right-angled triangles.
The page emphasizes proper exam technique including time management and thorough checking of answers.
We thought you’d never ask...
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Where can I download the Knowunity app?
You can download the app from Google Play Store and Apple App Store.
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Most popular content in Maths
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Students love us — and so will you.
4.6/5
App Store
4.7/5
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 Knowunity AI. 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 Knowunity AI. 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
Fun GCSE Trigonometry Practice: SOHCAHTOA and More!
Simran
@simran_task
A comprehensive guide to GCSE trigonometry practice questions with detailed solutions using SOHCAHTOA principles.
- Features 11 progressively challenging trigonometry problems covering sine, cosine, and tangent
- Each question includes step-by-step solutions demonstrating proper SOHCAHTOA application
- Problems range from basic angle calculations... Show more
Page 2: Basic Trigonometric Calculations
This page introduces fundamental Step-by-step trigonometry solutions GCSE with two starter problems focusing on sine and tangent ratios.
Example: Question 1 demonstrates finding a hypotenuse using sine ratio with Sin 35° = 20/x, resulting in x = 34.9
Vocabulary: Opposite - The side opposite to the angle in question Adjacent - The side adjacent to the angle in question Hypotenuse - The longest side of a right-angled triangle
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Page 3: Intermediate Angle Calculations
This section progresses to more complex calculations involving inverse trigonometric functions.
Example: Question 3 uses inverse cosine (cos⁻¹) to find an angle where cos θ = 16/24
Highlight: Both questions on this page require understanding of inverse trigonometric functions to find angles rather than sides.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Page 4: Length Calculations
This page focuses on calculating unknown side lengths using trigonometric ratios.
Definition: Tangent ratio is used when working with opposite and adjacent sides (TOA in SOHCAHTOA)
Example: Question 5 uses tan 35° to find a length of 14.0 units
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Page 5: Angle Calculations
These questions focus on determining unknown angles using inverse trigonometric functions.
Highlight: Question 7 demonstrates the use of inverse sine (sin⁻¹) to find an angle of 18.2°
Example: Question 8 uses inverse tangent to calculate an angle of 60.9°
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Page 6: Complex Triangle Problems
This page introduces more sophisticated problems involving multiple steps.
Example: Question 9 requires finding an angle in a complex shape involving multiple right triangles
Highlight: The solution requires breaking down the problem into manageable steps using basic trigonometric ratios
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Page 7: Advanced Length Calculations
This section presents more challenging problems requiring multiple steps and precise calculations.
Example: Question 10 involves using the Pythagorean theorem alongside trigonometric ratios
Highlight: Solutions must be given to 1 decimal place, emphasizing the importance of accuracy
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Page 8: Final Complex Problem
The worksheet concludes with the most challenging question requiring multiple steps and careful analysis.
Example: Question 11 involves finding an angle in a complex triangle setup using multiple trigonometric calculations
Highlight: The final answer must be given to 1 decimal place (41.8°)
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Page 1: Introduction and Instructions
This page outlines the essential guidelines for approaching these SOHCAHTOA exam problems worksheet. The document is designed for GCSE (1-9) mathematics students.
Highlight: Students must use black ink or ball-point pen and show all working out.
Definition: SOHCAHTOA is a mnemonic device used to remember the relationships between angles and sides in right-angled triangles.
The page emphasizes proper exam technique including time management and thorough checking of answers.
We thought you’d never ask...
What is the Knowunity AI companion?
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.
Where can I download the Knowunity app?
You can download the app from Google Play Store and Apple App Store.
Is Knowunity really free of charge?
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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Students love us — and so will you.
4.6/5
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4.7/5
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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
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 Knowunity AI. 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 Knowunity AI. 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