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MathsMaths115 views·Updated May 31, 2026·1 page

Understanding the Basics of Trigonometry for Edexcel Higher Maths GCSE

user profile picture
Charlotte@charlotte26

Trigonometry might sound scary, but it's actually just a clever... Show more

1
of 1
TOA
Tan Opposite/adjacent

CAH
Cosine Adjacent/Hypotenuse

For angles-
You use sin -1, tan -1 and cos-1
You press shift and either tan,cos
o

Trigonometry Basics

Trigonometry is your secret weapon for solving right-angled triangle problems. The magic word you need to remember is SOHCAHTOA - it's not as complicated as it looks, promise!

First, let's sort out the sides of your triangle. The hypotenuse is always the longest side, sitting opposite the right angle. The opposite side is directly across from the angle you're working with. The adjacent side is the one next to your angle (but not the hypotenuse).

Now for the main event - SOHCAHTOA breaks down into three simple ratios:

  • SOH: Sine = Opposite ÷ Hypotenuse
  • CAH: Cosine = Adjacent ÷ Hypotenuse
  • TOA: Tangent = Opposite ÷ Adjacent

Quick Tip: Remember SOHCAHTOA by thinking "Some Old Hippie Caught Another Hippie Tripping On Acid" - weird but it works!

When you need to find an angle instead of a side, use the inverse functions: sin⁻¹, cos⁻¹, or tan⁻¹. Just press shift and then your chosen trig button on your calculator. Easy!

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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MathsMaths115 views·Updated May 31, 2026·1 page

Understanding the Basics of Trigonometry for Edexcel Higher Maths GCSE

user profile picture
Charlotte@charlotte26

Trigonometry might sound scary, but it's actually just a clever way to find missing sides and angles in right-angled triangles. Once you've mastered SOHCAHTOA, you'll be solving triangle problems like a pro!

1
of 1
TOA
Tan Opposite/adjacent

CAH
Cosine Adjacent/Hypotenuse

For angles-
You use sin -1, tan -1 and cos-1
You press shift and either tan,cos
o

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Trigonometry Basics

Trigonometry is your secret weapon for solving right-angled triangle problems. The magic word you need to remember is SOHCAHTOA - it's not as complicated as it looks, promise!

First, let's sort out the sides of your triangle. The hypotenuse is always the longest side, sitting opposite the right angle. The opposite side is directly across from the angle you're working with. The adjacent side is the one next to your angle (but not the hypotenuse).

Now for the main event - SOHCAHTOA breaks down into three simple ratios:

  • SOH: Sine = Opposite ÷ Hypotenuse
  • CAH: Cosine = Adjacent ÷ Hypotenuse
  • TOA: Tangent = Opposite ÷ Adjacent

Quick Tip: Remember SOHCAHTOA by thinking "Some Old Hippie Caught Another Hippie Tripping On Acid" - weird but it works!

When you need to find an angle instead of a side, use the inverse functions: sin⁻¹, cos⁻¹, or tan⁻¹. Just press shift and then your chosen trig button on your calculator. Easy!

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.

Most popular content: Trigonometric Ratios

9
MathsMaths

Trigonometric Functions Overview

Explore the fundamentals of trigonometry, including the tangent, sine, and cosine functions. This summary covers key concepts such as SOH CAH TOA, trigonometric ratios, and methods for finding angles and sides in right triangles. Ideal for students preparing for exams or needing a quick reference.

91,70559
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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.

1047517
MathsMaths

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Explore the fundamentals of trigonometry with a focus on right triangles. This study resource covers key concepts such as opposite and adjacent sides, trigonometric ratios, and practical examples for calculating angles and side lengths. Ideal for GCSE Maths students seeking to master trigonometric problems.

92557
MathsMaths

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Explore the fundamentals of trigonometry with a focus on SOHCAHTOA. This summary covers how to label triangle sides, apply trigonometric formulas, and calculate missing angles using inverse functions. Ideal for GCSE Maths students looking to master right triangle calculations.

955611
MathsMaths

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Explore essential formulas for calculating the area of various shapes including rectangles, triangles, trapeziums, and circles. Additionally, understand trigonometric ratios (sin, cos, tan) and their exact values for special angles. This summary is perfect for quick revision and exam preparation.

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Explore essential trigonometric concepts including hypotenuse, opposite, and adjacent sides, along with exact values for sine, cosine, and tangent at key angles (0°, 30°, 45°, 60°, 90°). This summary provides a clear understanding of trigonometric ratios and their applications.

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75533
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118823
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Explore essential higher mathematics concepts including calculus, trigonometry, polynomials, and vector analysis. This summary covers key topics such as differentiation, integration, quadratic equations, and the properties of circles, providing a solid foundation for exam preparation. Ideal for students seeking a concise yet thorough review of advanced mathematical principles.

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918,818392

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

Students love us — and so will you.

4.6/5App Store
4.7/5Google 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 SiOS user

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