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Fun GCSE Trigonometry Practice: SOHCAHTOA and More!

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Fun GCSE Trigonometry Practice: SOHCAHTOA and More!
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Simran

@simran_task

·

194 Followers

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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 to complex multi-step scenarios
  • Includes practice with both finding angles and finding side lengths
  • Questions are formatted similar to actual GCSE exam questions with clear mark allocations

13/11/2023

453

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

View

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

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

View

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.

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

View

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

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

View

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°

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

View

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

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

View

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

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

View

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°)

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

View

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.

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Subjects

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Maths

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Number

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Laws of indices

Fun GCSE Trigonometry Practice: SOHCAHTOA and More!

user profile picture

Simran

@simran_task

·

194 Followers

Follow

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 to complex multi-step scenarios
  • Includes practice with both finding angles and finding side lengths
  • Questions are formatted similar to actual GCSE exam questions with clear mark allocations

13/11/2023

453

 

10/11

 

Maths

4

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

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

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

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.

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

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

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

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°

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

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

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

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

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

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°)

Name: Instructions ● ● ● ● ● Information ● ● GCSE (1-9) SOHCAHTOA Use black ink or ball-point pen. Answer all questions. Answer the question

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.

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

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the 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 education app in five European countries

4.9+

Average app rating

15 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.