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Maths Gcse Edexcel Foundation

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Exam code:1MA1

SOHCAHTOA – Finding angles

How can I use SOHCAHTOA to find missing angles?

  • STEP 1
    Label the sides of the triangle as H, O and A

    • H is the longest side opposite the right angle

    • O is opposite the given angle

    • A is next to the given angle

  • STEP 2
    Identify which trigonometric ratio to use: sin, cos or tan

    • Write down the letters of the lengths you are given

    • Find the two letters in SOHCAHTOA to identify which ratio to use

      • If you have O and A then use tan

  • STEP 3
    Substitute the values into the relevant trigonometric formula

    • The angle will be unknown

      • tan open parentheses theta close parentheses equals 3 over 4 

  • STEP 4
    Substitute the fraction into the inverse trigonometric function

    • You normally need to press SHIFT on your calculator first

      • tan open parentheses theta close parentheses equals 3 over 4 leads to <img alt=”theta equals tan to the power of negative 1 end exponent open parentheses 3 over 4 close parentheses” data-mathml='<math ><semantics><mrow><mi>&#952;</mi><mo>=</mo><msup><mi>tan</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mfenced><mfrac><mn>3</mn><mn>4</mn></mfrac></mfenced></mrow><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“language”:”en”,”fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true}</annotation></semantics></math>’ height=”47″ role=”math” 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