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Image mnemonic to help remember the ratios of sides of a right triangle. The sine, cosine, and tangent ratios in a right triangle can be remembered by representing them as strings of letters, for instance SOH-CAH-TOA in English:
The mnemonic "SOHCAHTOA" (occasionally spelt "SOH CAH TOA") is often used to remember the basic trigonometric functions: [36] Sine = Opposite / Hypotenuse; Cosine = Adjacent / Hypotenuse; Tangent = Opposite / Adjacent; Other mnemonics that have been used for this include: Some Old Hippie Caught Another Hippie Tripping On Acid.
COS (54D: The "C" in "SOH-CAH-TOA") SOH-CAH-TOA is a mnemonic used in trigonometry to remember how to calculate the sine, cosine (COS), and tangent of an angle of a right triangle.
For instance, a mnemonic is SOH-CAH-TOA: [34] Sine = Opposite ÷ Hypotenuse Cosine = Adjacent ÷ Hypotenuse Tangent = Opposite ÷ Adjacent. One way to remember the letters is to sound them out phonetically (i.e. / ˌ s oʊ k ə ˈ t oʊ ə / SOH-kə-TOH-ə, similar to Krakatoa). [35]
Here is a traditional mnemonic, like a magic formula to provide access to the three equalities: SOH CAH TOA. Two similar right triangles are either directly or indirectly similar, except in case of isosceles triangles.
In October 2021, a video went viral the footage displayed showed the math teacher Candice Reed [3] at John W. North High School in Riverside Unified School District wearing a fake feather headdress while dancing around the classroom and chanting "SOH-CAH-TOA", which is a mnemonic for remembering a trigonometry principle. [4] She was suspended.
There are several equivalent ways for defining trigonometric functions, and the proofs of the trigonometric identities between them depend on the chosen definition. The oldest and most elementary definitions are based on the geometry of right triangles and the ratio between their sides.
Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional.. In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) [1] are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.