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You are here: Home > Arithmetic > Trigonometry > Two Old Angels Skipped Over Heaven, Carrying Ancient Harps

Two Old Angels Skipped Over Heaven, Carrying Ancient Harps

 

Mnemonic Device:

  • Two Old Angels Skipped Over Heaven, Carrying Ancient Harps

Explanation: the equations for Tangent, Sine, and Cosine.

  • O stands for opposite, A stands for adjacent, and H stands for hypotenuse.
    • Tangent = Opposite/Adjacent (Two Old Angels)
    • Sine = Opposite/Hypotenuse (Skipped Over Heaven)
    • Cosine = Adjacent/Hypotenuse (Carrying Ancient Harps)

Variation:

  • Two Old Aunts, Sitting On Horseback, Catching A Husband. Any Old Time, Husbands Are Caught, Hail Or Shine.
    • Tangent = Opposite/Adjacent (Two Old Aunts)
      Sine = Opposite/Hypotenuse (Sitting On Horseback)
      Cosine = Adjacent/Hypotenuse (Catching A Husband)
    • Inverse functions:
      • Cosine = Adjacent/Hypotenuse (Husbands Are Caught)
      • Tangent = Opposite/Adjacent (Any Old Time)
      • Sine = Opposite/Hypotenuse (Hail Or Shine)

Additional Note: We are looking for additional information for the variation of this mnemonic (inverse functions). Do you have suggestions or corrections for this? If so, please submit a comment!

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