SOH CAH TOA

Part of Trigonometry (SOH CAH TOA) · Section 3 of 7

Key FactsUnit: Geometry & MeasuresGCSE

This key facts covers SOH CAH TOA 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 3 of 7 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

SOH CAH TOA

SOH: sin θ = OH CAH: cos θ = AH TOA: tan θ = OA

How to choose which ratio:

  1. Label O, A, H from your angle
  2. Identify which two sides you have or need
  3. Pick the ratio that uses those two sides

Tip: If you have/need O and H → use Sin. If A and H → use Cos. If O and A → use Tan.

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

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The Labels (CRUCIAL!)

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Worked Example 1: Finding a Side

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