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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:
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]
The mnemonic "SOHCAHTOA" (occasionally spelt "SOH CAH TOA") is often used to remember the basic trigonometric functions: [37] 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.
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Referring to the diagram at the right, the six trigonometric functions of θ are, for angles smaller than the right angle: sin θ = o p p o s i t e h y p o t e n u s e = a h {\displaystyle \sin \theta ={\frac {\mathrm {opposite} }{\mathrm {hypotenuse} }}={\frac {a}{h}}}
In mathematics, sine and cosine are trigonometric functions of an angle.The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the ...
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You are free: to share – to copy, distribute and transmit the work; to remix – to adapt the work; Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made.