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MNEMONICS FOR RECALLING THE DEFINITIONS OF SINE, COSINE AND TANGENT


Mnemonics with explicit sine, cosine and tangent

These mnemonics take the first letters of
:Sine = '''O'''pposite/'''H'''ypotenuse
:Cosine = '''A'''djacent/'''H'''ypotenuse
:Tangent = '''O'''pposite/'''A'''djacent
and form some easily-remembered sentence. Popular examples are

A war cry Soh Cah Toa
  • Some Officers Have Coaches And Horses To Order Around

  • Some Old Horses Chase And Hunt Till Old Age

  • Some Old Hippie Caught A High Tripping On Acid

  • Some old Hippe Caught Another Hippie Tripping on Acid

  • Signs Of Happiness Come After Having Tubs Of Acid

  • Some Old Hags Can't Always Hide Their Old Age

  • Some Old Hobos Can't Always Hide Their Old Age

  • Some Old Horses Can Always Hear Their Owner's Approach

  • Some Old Horse Caught Another Horse Taking Oats Away

  • Silly Old Harry Caught A Herring Trawling Off America

  • Silly Old Hippies Can Always Have Tonnes Of Acid

  • Some Old Hippie/Hippy Came Around Here Tripping On Acid (or "...Caught Another Hippie...")

  • SOHCAHTOA (sounds like "soak a toe-a", can be read as "soccer tour")

  • Silly Old Hitler Chased A Horse Through Our Attic

  • Silly Old Hitler Caused Awful Headaches To Our Airmen

  • Sir Oliver's Horse Came Ambling Home to Olivers Aunt

  • Some Old Hag Cracked All Her Teeth On Asparagus

  • Shit Out His Cummy Ass Hole Toward Old Adolf

  • Some Orifices Have Curly Auburn Hair To Obscure Approach (RAF mnemonic from WW2)

  • Saddle Our Horses Canter Away Happily To Other Adventures

  • See Old Harry Catch A Herring Trawling Off America

  • The Old Aunt Sat On Her Coat And Hat

  • Selly Oak Hospital Can Always Help The Odd Accident

  • SAKATA from the television advert.

  • Silly Old Hag, Can't Afford a Helicopter, Too Old Anyway (credit to Laura Pickett, Isle of Wight)

  • Sex On Holiday Causes All Heartache, Treatment Only Aggravates



Perhaps a somewhat stranger memory trick involves imagining that you are throwing a bucket of water at the tower of London, in which The Queen is currently residing. She responds to the water by saying:"Hey, Phil, someone's trying to Soak Our Tower!". Because of The Queen's more formal accent, it sounds more like SOH CAH TOA.(So kar to-a). As daft as it sounds, the bizzareness of it should help you to remember it.


Mnemonics with implicit sine, cosine and tangent

These mnemonics do not include the function name. Each pair of words implicitly refers to sine, cosine, and tangent respectively. The first letters of
:Opposite/'''H'''ypotenuse (=Sine)
:Adjacent/'''H'''ypotenuse (=Cosine)
:Opposite/'''A'''djacent (=Tangent)
are used to form a sentence. Popular examples are
  • Old Houses Always Have Old Attics

  • Oh Heck, Another Hour Of Algebra!

  • Oscar Had A Hit Of Acid

  • Old Hippies Are High On Acid

  • Oscar Has A Hairy Old Ass

  • Oscar Has A Heap Of Acorns

  • Oscar Had A Hunk Of A..

  • Oscar Has A Heap Of Apples

  • Oscar Had A Hold On Arthur

  • Orla Has A Hell Of A...

  • One Hopes And Hopes On America



MNEMONICS FOR RECALLING WHICH FUNCTIONS ARE POSITIVE IN WHICH QUADRANT

These mnemonics help recall which functions are positive in which quadrant, starting at the conventional 0 (east on a compass) and going counter-clockwise. They take the first letters of
:All functions are positive in quadrant I
:Sine is positive in quadrant II
:Tangent is positive in quadrant III
:Cosine is positive in quadrant IV
and form a simple sentence. Popular examples are
  • All Schools Teach Crap

  • All Silver Tea Cups

  • All Students Take Calculus

  • All Students Take Cocaine

  • A Simple Trig Chart

  • All Stations To Central

  • All Stations To Crewe

  • All Sinners Take Confession

  • All Science Teachers Care

  • All Students Take Chemistry

  • Another Stupid Trig Class

  • All Socialists Talk Crap

  • Albany State Teachers' College

  • Add Sugar To Coffee

  • All Smackheads Take Crack


Or following the above rule except starting with quadrant IV, the word CAST ('''C'''osine, '''A'''ll, '''S'''ine, '''T'''angent) is formed.


OTHER MNEMONICS

These mnemonics define the same functions as above, but in a different order. Popular examples are
  • Old Harry Spills All His Custard Over Auntie's Tablecloth

    • :Old '''H'''arry '''S'''pills: Opposite/Hypotenuse = Sine

:All '''H'''is '''C'''ustard: Adjacent/Hypotenuse = Cosine
:Over '''A'''untie's '''T'''ablecloth: Opposite/Adjacent = Tangent