PrepWisePrepWiseTrigonometry (SOH CAH TOA)
Geometry & MeasuresIntroduction

Beyond Pythagoras

Part of Trigonometry (SOH CAH TOA) — GCSE Mathematics

This introduction covers Beyond Pythagoras within Trigonometry (SOH CAH TOA) for GCSE Mathematics. Revise Trigonometry (SOH CAH TOA) in Geometry & Measures for GCSE Mathematics with 19 exam-style questions and 7 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 1 of 6 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 1 of 6

Practice

19 questions

Recall

7 flashcards

Beyond Pythagoras

Pythagoras helps find sides, but what if you need to find an ANGLE? Or what if you know an angle and only ONE side? That's where trigonometry comes in. The three ratios (sine, cosine, tangent) connect angles and sides in right-angled triangles.

Visual: SOH CAH TOA

Diagram showing SOH CAH TOA trigonometry ratios. A right triangle labelled with Opposite, Adjacent, and Hypotenuse from angle θ. SOH: sin θ = O/H, CAH: cos θ = A/H, TOA: tan θ = O/A

Keep building this topic

Read this section alongside the surrounding pages in Trigonometry (SOH CAH TOA). That gives you the full topic sequence instead of a single isolated revision point.

The Labels (CRUCIAL!)SOH CAH TOAWorked Example 1: Finding a Side

Practice Questions for Trigonometry (SOH CAH TOA)

Which trigonometric ratio connects the opposite side and the hypotenuse in a right-angled triangle?

  • A. tan θ = opposite / adjacent
  • B. cos θ = opposite / hypotenuse
  • C. sin θ = opposite / hypotenuse
  • D. sin θ = adjacent / hypotenuse
1 markfoundation

For the triangle shown, a student chooses to use sin to find the missing side. Explain why they chose sin rather than one of the other trigonometric ratios.

2 marksstandard

Quick Recall Flashcards

SOH CAH TOA
Sin = O/H, Cos = A/H, Tan = O/A. Pick based on which two sides you have or need.
SOH CAH TOA
sin = Opp/Hyp, cos = Adj/Hyp, tan = Opp/Adj

Want to test your knowledge?

PrepWise has 19 exam-style questions and 7 flashcards for Trigonometry (SOH CAH TOA) — with adaptive difficulty and instant feedback.

Join Alpha

Back to

Trigonometry (SOH CAH TOA)

Next

The Labels (CRUCIAL!)